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Chekhov, Leonid Olegovich

Total publications: 95 (92)
in MathSciNet: 86 (84)
in zbMATH: 63 (61)
in Web of Science: 71 (69)
in Scopus: 71 (70)
Cited articles: 72
Citations: 1500
Presentations: 49

Number of views:
This page:5186
Abstract pages:16679
Full texts:5954
References:1638
Doctor of physico-mathematical sciences (2001)
Birth date: 29.03.1962
E-mail:
Keywords: conical singularities, moduli space, geodesic algebra, quantization.
UDC: 530.1, 515.165.7, 517.545, 530.145

Subject:

matrix models, moduli space, geodesic algebra, quantization.

   
Main publications:
  1. L. O. Chekhov, M. Mazzocco, “Isomonodromic deformations and twisted Yangians arising in Teichmuller theory”, Advances in Mathematics, 226:6 (2011), 4731–4775  crossref  mathscinet  zmath  isi
  2. L. Chekhov, B. Eynard, and N. Orantin, “Free energy topological expansion for the 2-matrix model”, JHEP, 12:12 (2006), 053, 30 с.  crossref  mathscinet  zmath  adsnasa  isi
  3. L. Chekhov, B. Eynard, “Hermitean matrix model free energy: Feynman graph technique for all genera”, JHEP, 0603 (2006), 014, 20 с.  crossref  mathscinet  adsnasa
  4. V. V. Fok, L. O. Chekhov, “Kvantovye prostranstva Teikhmyullera”, TMF, 120:3 (1999), 511–528  mathnet  crossref  mathscinet
  5. J. Ambjørn, L. Chekhov, C. F. Kristjansen, and Yu. Makeenko, “Matrix model calculations beyond the spherical limit”, Nucear Physics B, 404:3 (1993), 681–720  isi

https://www.mathnet.ru/eng/person9090
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:chekhov.leonid-o
https://mathscinet.ams.org/mathscinet/MRAuthorID/47830
https://elibrary.ru/author_items.asp?authorid=5725
https://www.webofscience.com/wos/author/record/Q-5226-2016
https://www.scopus.com/authid/detail.url?authorId=55902530900
https://www.researchgate.net/profile/Leonid_Chekhov

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

Articles

1. Leonid O. Chekhov, Michael Shapiro, “Log-Canonical Coordinates for Symplectic Groupoid and Cluster Algebras”, Int. Math. Res. Not. IMRN, 2023:11 (2023), 9565–9652  mathnet  crossref  mathscinet 4
2. L. O. Chekhov, “Cluster variables for affine Lie–Poisson systems”, Theoret. and Math. Phys., 217:3 (2023), 1987–2004  mathnet  crossref  crossref  mathscinet  adsnasa  scopus
3. L. O. Chekhov, M. Z. Shapiro, H. Shibo, “Roots of the characteristic equation for the symplectic groupoid”, Russian Math. Surveys, 77:3 (2022), 552–554  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus
4. Leonid Chekhov, Marta Mazzocco, Vladimir Rubtsov, “Quantised Painlevé monodromy manifolds, Sklyanin and Calabi–Yau algebras”, Adv. Math., 376 (2021), 107442 , 52 pp.  mathnet  crossref  isi  scopus 8
5. Leonid O. Chekhov, “Symplectic Structures on Teichmüller Spaces $\mathfrak T_{g,s,n}$ and Cluster Algebras”, Proc. Steklov Inst. Math., 309 (2020), 87–96  mathnet  crossref  crossref  isi  elib  scopus
6. L. O. Chekhov, “Fenchel–Nielsen coordinates and Goldman brackets”, Russian Math. Surveys, 75:5 (2020), 929–964  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
7. L. Chekhov, P. Norbury, “Topological recursion with hard edges”, Int. J. Math., 30:3 (2019), 1950014 , 29 pp., arXiv: 1702.08631  mathnet  crossref  mathscinet  zmath  isi  scopus 10
8. Leonid Chekhov, Marta Mazzocco, “Colliding holes in Riemann surfaces and quantum cluster algebras”, Nonlinearity, 31:1 (2018), 54–107 , arXiv: 1509.07044v4  mathnet  crossref  mathscinet  isi  scopus 7
9. J. Ambjørn, L. Chekhov, Y. Makeenko, “Perturbed generalized multicritical one-matrix models”, Nuclear Phys. B, 928 (2018), 1–20  mathnet  crossref  mathscinet  isi  scopus 1
10. Jan Ambjørn, Leonid O. Chekhov, “Spectral curves for hypergeometric Hurwitz numbers”, J. Geom. Phys., 132 (2018), 382–392  mathnet  crossref  mathscinet  zmath  isi  scopus 3
11. L. O. Chekhov, M. Mazzocco, “On a Poisson homogeneous space of bilinear forms with a Poisson–Lie action”, Russian Math. Surveys, 72:6 (2017), 1109–1156  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
12. Leonid O. Chekhov, Marta Mazzocco, Vladimir N. Rubtsov, “Painlevé monodromy manifolds, decorated character varieties, and cluster algebras”, Int. Math. Res. Not. IMRN, 2017:24 (2017), 7639–7691  mathnet  crossref  mathscinet  isi  scopus 10
13. Leonid O. Chekhov, “The Harer–Zagier recursion for an irregular spectral curve”, J. Geom. Phys., 110 (2016), 30–43 , arXiv: 1512.09278  mathnet  crossref  mathscinet  zmath  isi  elib  scopus  scopus 4
14. J. E. Andersen, L. O. Chekhov, P. Norbury, R. C. Penner, “Models of discretized moduli spaces, cohomological field theories, and Gaussian means”, J. Geom. Phys., 98 (2015), 312–339  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 8
15. J. E. Andersen, L. O. Chekhov, P. Norbury, R. C. Penner, “Topological recursion for Gaussian means and cohomological field theories”, Theoret. and Math. Phys., 185:3 (2015), 1685–1717  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
16. L. Chekhov, M. Shapiro, “Teichmüller spaces of Riemann surfaces with orbifold points of arbitrary order and cluster variables”, Int. Math. Res. Not. IMRN, 2014:10 (2014), 2746–2772 , arXiv: 1111.3963  mathnet  crossref  mathscinet  zmath  isi  scopus 33
17. Jan Ambjørn, Leonid O. Chekhov, “The matrix model for dessins d'enfants”, Ann. Inst. Henri Poincaré D, 1:3 (2014), 337–361 , arXiv: 1404.4240  mathnet  crossref  mathscinet  zmath  zmath  scopus 28
18. J. Ambjørn, L. O. Chekhov, “A matrix model for hypergeometric Hurwitz numbers”, Theoret. and Math. Phys., 181:3 (2014), 1486–1498  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus
19. L. Chekhov, B. Eynard, S. Ribault, “Seiberg-Witten equations and non-commutative spectral curves in Liouville theory”, J. Math. Phys., 54:2 (2013), 022306 , 21 pp., arXiv: 1209.3984  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus 7
20. J. E. Andersen, L. O. Chekhov, R. C. Penner, Ch. M. Reidys, P. Sułkowski, “Topological recursion for chord diagrams, RNA complexes, and cells in moduli spaces”, Nuclear Phys. B, 866:3 (2013), 414–443 , arXiv: 1205.0658  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 22
21. L. Chekhov, M. Mazzocco, “Poisson algebras of block-upper-triangular bilinear forms and braid group action”, Comm. Math. Phys., 322:1 (2013), 49–71 , arXiv: 1012.5251  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 4
22. J. E. Andersen, L. O. Chekhov, R. C. Penner, Ch. M. Reidys, P. Sulkowski, “Enumeration of RNA complexes via random matrix theory”, Biochemical Society Transactions, 41:2 (2013), 652–655  mathnet  crossref  isi  elib  scopus 10
23. L. Chekhov, M. Mazzocco, “Block trangular bilinear forms and braid group action”, Tropical geometry and integrable systems, A conference on Tropical Geometry and Integrable Systems (Glasgow 3–8 July 2011), Contemp. Math., 580, eds. C. Athorne, D. Maclagan, and I. Strachan, Amer. Math. Soc., Providence, RI, 2012, 85–94  mathnet  crossref  mathscinet  zmath  isi  scopus 1
24. L. Chekhov, M. Mazzocco, “Teichmüller spaces as degenerated symplectic leaves in Dubrovin-Ugaglia Poisson manifolds”, Phys. D, 241:23-24 (2012), 2109–2121  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 2
25. L. O. Chekhov, “Logarithmic potential $\beta$-ensembles and Feynman graphs”, Proc. Steklov Inst. Math., 272 (2011), 58–74  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
26. L. O. Chekhov, B. Eynard, O. Marchal, “Topological expansion of the $\beta$-ensemble model and quantum algebraic geometry in the sectorwise approach”, Theoret. and Math. Phys., 166:2 (2011), 141–185  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus
27. L. Chekhov, M. Mazzocco, “Isomonodromic deformations and twisted Yangians arising in Teichmüller theory”, Adv. Math., 226:6 (2011), 4731–4775  crossref  mathscinet  zmath  isi  elib  scopus 12
28. L. Chekhov, “Chapter 29. Algebraic geometry”, The Oxford Handbook of Random Matrix Theory, Oxford Handbooks in Mathematics, eds. G. Akemann, J. Baik, and P. Di Francesco, Oxford, 2011  mathscinet  zmath
29. L. Chekhov, M. Mazzocco, “Shear coordinate description of the quantized versal unfolding of a $D_4$ singularity”, J. Phys. A, 43:44 (2010), 442002 , 13 pp.  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 6
30. L. O. Chekhov, “Riemann Surfaces with Orbifold Points”, Proc. Steklov Inst. Math., 266 (2009), 228–250  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
31. L. O. Chekhov, “Orbifold Riemann surfaces and geodesic algebras”, J. Phys. A, 42:30 (2009), 304007 , 32 pp.  crossref  mathscinet  zmath  isi  scopus 8
32. M. Mazzocco, L. O. Chekhov, “Orbifold Riemann surfaces: Teichmüller spaces and algebras of geodesic functions”, Russian Math. Surveys, 64:6 (2009), 1079–1130  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
33. L. O. Chekhov, R. C. Penner, “On quantizing Teichmüller and Thurston theories”, Handbook of Teichmüller theory, Vol. I, IRMA Lect. Math. Theor. Phys., 11, Eur. Math. Soc., Zürich, 2007, 579–645  mathscinet  zmath
34. Leonid O. Chekhov, “Teichmüller Theory of Bordered Surfaces”, SIGMA, 3 (2007), 66–37  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 13
35. L. Chekhov, B. Eynard, “Matrix eigenvalue model: Feynman graph technique for all genera”, J. High Energy Phys., 2006, no. 12, 026 , 29 pp. (electronic)  crossref  mathscinet  zmath  scopus 73
36. L. Chekhov, B. Eynard, N. Orantin, “Free energy topological expansion for the 2-matrix model”, J. High Energy Phys., 2006, no. 12, 053 , 31 pp. (electronic)  crossref  mathscinet  zmath  scopus 82
37. L. Chekhov, J. E. Nelson, T. Regge, “Extension of geodesic algebras to continuous genus”, Lett. Math. Phys., 78:1 (2006), 17–26  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
38. L. Chekhov, “Matrix models with hard walls: geometry and solutions”, J. Phys. A, 39:28 (2006), 8857–8893  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 15
39. L. Chekhov, B. Eynard, “Hermitian matrix model free energy: Feynman graph technique for all genera”, J. High Energy Phys., 2006, no. 3, 014 , 18 pp.  crossref  mathscinet  zmath  elib  scopus 109
40. L. O. Chekhov, “Solving matrix models in $1/N$-expansion”, Russian Math. Surveys, 61:3 (2006), 483–543  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
41. L. O. Chekhov, “AdS3/CFT2 on a Torus in the Sum over Geometries”, Theoret. and Math. Phys., 146:1 (2006), 13–24  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
42. L. O. Chekhov, A. V. Marshakov, A. D. Mironov, D. Vasiliev, “Complex Geometry of Matrix Models”, Proc. Steklov Inst. Math., 251 (2005), 254–292  mathnet  mathscinet  zmath
43. L. Chekhov, “Quantizing Teichmüller spaces using graphs”, Woods Hole mathematics, Ser. Knots Everything, 34, World Sci. Publ., Hackensack, NJ, 2004, 1–26  crossref  mathscinet
44. L. O. Chekhov, “Genus-One Correction to Multicut Matrix Model Solutions”, Theoret. and Math. Phys., 141:3 (2004), 1640–1653  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
45. L. Chekhov, Marshakov A., Mironov A., Vasiliev D., “DV and WDVV”, Phys. Lett. B, 562:3-4 (2003), 323–338  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 59
46. L. Chekhov, Mironov A., “Matrix models vs. Seiberg–Witten/Whitham theories”, Phys. Lett. B, 552:3-4 (2003), 293–302  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 86
47. L. O. Chekhov, R. C. Penner, “Introduction to quantum Thurston theory”, Russian Math. Surveys, 58:6 (2003), 1141–1183  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
48. L. O. Chekhov, “Integrable deformations of systems on graphs with loops”, Russian Math. Surveys, 57:3 (2002), 587–588  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
49. L. O. Chekhov, V. V. Fock, “Observables in 3D gravity and geodesic algebras”, Quantization, gauge theory, and strings (Moscow, 2000), v. I, Sci. World, Moscow, 2001, 237–247  mathscinet  zmath
50. L. O. Chekhov, “Observables in $2+1$ Gravity and Noncommutative Teichmüller Spaces”, Theoret. and Math. Phys., 129:2 (2001), 1609–1616  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
51. L. O. Chekhov, “Matrix Models: Geometry of Moduli Spaces and Exact Solutions”, Theoret. and Math. Phys., 127:2 (2001), 557–618  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
52. L. O. Chekhov, V. V. Fock, “Observables in 3D gravity and geodesic algebras”, Quantum groups and integrable systems (Prague, 2000), Czechoslovak J. Phys., 50, no. 11, 2000, 1201–1208  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 31
53. L. O. Chekhov, N. V. Puzyrnikova, “Integrable systems on graphs”, Russian Math. Surveys, 55:5 (2000), 992–994  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
54. Arutyunov G. E., L. O. Chekhov, Frolov S. A., “Quantum dynamical $R$-matrices”, Moscow Seminar in Mathematical Physics, Amer. Math. Soc. Transl. Ser. 2, 191, Amer. Math. Soc., Providence, RI, 1999, 1–32  mathscinet  zmath
55. L. Chekhov, K. Palamarchuk, “Two-logarithm Matrix model with an external field”, Modern Phys. Lett. A, 14:32 (1999), 2229–2243  crossref  mathscinet  adsnasa  isi  elib  scopus 2
56. L. Chekhov, “$\mathrm{AdS}_3/\mathrm{CFT}_2$ correspondence at finite temperature”, Modern Phys. Lett. A, 14:31 (1999), 2157–2168  crossref  mathscinet  adsnasa  isi  elib  scopus 4
57. L. O. Chekhov, “A spectral problem on graphs and $L$-functions”, Russian Math. Surveys, 54:6 (1999), 1197–1232  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
58. V. V. Fock, L. O. Chekhov, “Quantum Mapping Class Group, Pentagon Relation, and Geodesics”, Proc. Steklov Inst. Math., 226 (1999), 149–163  mathnet  mathscinet  zmath
59. V. V. Fock, L. O. Chekhov, “A quantum Teichmüller space”, Theoret. and Math. Phys., 120:3 (1999), 1245–1259  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
60. J. Ambjørn, L. Chekhov, “The NBI matrix model of IIB superstrings”, J. High Energy Phys., 1998, no. 12, 7 , 13 pp.  mathscinet  zmath
61. G. E. Arutyunov, L. O. Chekhov, S. A. Frolov, “$R$-matrix quantization of the elliptic Ruijsenaars–Schneider model”, Comm. Math. Phys., 192:2 (1998), 405–432  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 24
62. L. Chekhov, K. Zarembo, “Effective action and measure in matrix model of IIB superstrings”, Modern Phys. Lett. A, 12:31 (1997), 2331–2340  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 3
63. L. Chekhov, “Matrix model tools and geometry of moduli spaces”, Acta Appl. Math., 48:1 (1997), 33–90  crossref  mathscinet  zmath  isi  elib  scopus 12
64. G. E. Arutyunov, S. A. Frolov, L. O. Chekhov, “$R$-matrix quantization of the elliptic Ruijsenaars–Schneider model”, Theoret. and Math. Phys., 111:2 (1997), 536–562  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
65. L. Chekhov, “$L$-functions in scattering on generalized Cayley trees”, International Conference on Nonlinear Dynamics, Chaotic and Complex Systems (Zakopane, 1995), J. Tech. Phys., 37, no. 3-4, 1996, 301–305  mathscinet
66. L. Chekhov, C. Kristjansen, “Hermitian matrix model with plaquette interaction”, Nuclear Phys. B, 479:3 (1996), 683–696  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 21
67. L. Chekhov, “Discretized moduli spaces and matrix models”, Algebraic and geometric methods in mathematical physics (Kaciveli, 1993), Math. Phys. Stud., 19, Kluwer Acad. Publ., Dordrecht, 1996, 187–206  mathscinet  zmath
68. L. Chekhov, “$L$ functions in scattering on $p$-adic multiloop surfaces”, J. Math. Phys., 36:1 (1995), 414–425  crossref  mathscinet  zmath  adsnasa  isi  scopus 4
69. Theoret. and Math. Phys., 103:3 (1995), 723–737  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
70. L. Chekhov, “Matrix model for discretized moduli space”, J. Geom. Phys., 12:3 (1993), 153–164  crossref  mathscinet  zmath  adsnasa  elib  scopus 10
71. J. Ambjørn, L. Chekhov, C. F. Kristjansen, Yu. Makeenko, “Matrix model calculations beyond the spherical limit”, Nuclear Phys. B, 404:1-2 (1993), 127–172  crossref  mathscinet  adsnasa  isi  scopus 186
72. J. Ambjørn, L. Chekhov, Yu. Makeenko, “Higher genus correlators from the Hermitian one-matrix model”, Phys. Lett. B, 282:3-4 (1992), 341–348  crossref  mathscinet  adsnasa  isi  scopus 33
73. L. Chekhov, “A matrix model for the classical nonlinear Schrödinger equation”, Internat. J. Modern Phys. A, 7:13 (1992), 2981–2996  crossref  mathscinet  adsnasa  isi 1
74. L. Chekhov, Yu. Makeenko, “The multicritical Kontsevich–Penner model”, Modern Phys. Lett. A, 7:14 (1992), 1223–1236  crossref  mathscinet  zmath  adsnasa  isi 33
75. L. Chekhov, Yu. Makeenko, “A hint on the external field problem for matrix models”, Phys. Lett. B, 278:3 (1992), 271–278  crossref  mathscinet  adsnasa  isi  scopus 36
76. K. L. Zarembo, L. O. Chekhov, “Multicut solutions of the matrix Kontsevich–Penner model”, Theoret. and Math. Phys., 93:2 (1992), 1328–1336  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
77. L. Chekhov, A. Zabrodin, “A critical matrix model for nonoriented string”, Modern Phys. Lett. A, 6:34 (1991), 3143–3152  crossref  mathscinet  zmath  adsnasa  isi 7
78. L. Chekhov, Yu. Zinoviev, “$p$-adic string compactified on a torus”, Lett. Math. Phys., 20:3 (1990), 211–219  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
79. L. O. Chekhov, Yu. M. Zinoviev, “$p$-adic string compactified on a torus”, Comm. Math. Phys., 130:3 (1990), 623–631  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 5
80. L. O. Chekhov, A. D. Mironov, A. V. Zabrodin, “$p$-adic string world sheets: higher genera”, Problems of modern quantum field theory (Alushta, 1989), Res. Rep. Phys., Springer, Berlin, 1989, 76–85  crossref  mathscinet
81. L. O. Chekhov, A. D. Mironov, A. V. Zabrodin, “Multiloop calculations in $p$-adic string theory and Bruhat–Tits trees”, Comm. Math. Phys., 125:4 (1989), 675–711  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 24
82. L. O. Chekhov, A. D. Mironov, A. V. Zabrodin, “Multiloop calculus in $p$-adic string theory and Bruhat–Tits trees”, Modern Phys. Lett. A, 4:13 (1989), 1227–1235  crossref  mathscinet  adsnasa  isi 2
83. L. Chekhov, “A note on multiloop calculus in $p$-adic string theory”, Modern Phys. Lett. A, 4:12 (1989), 1151–1158  crossref  mathscinet  adsnasa  isi 2
84. V. K. Krivoshchekov, A. A. Slavnov, L. O. Chekhov, “Effective Lagrangian for supersymmetric quantum chromodynamics and the problem of dynamical breaking of supersymmetry”, Theoret. and Math. Phys., 72:1 (1987), 686–693  mathnet  crossref  adsnasa  isi  scopus
85. L. O. Chekhov, V. K. Krivoshchekov, “Local and global integrability of supersymmetric anomalies”, Modern Phys. Lett. A, 1:7-8 (1986), 501–507  crossref  mathscinet  adsnasa 1
86. V. K. Krivoshchekov, L. O. Chekhov, “Effective action for supersymmetric chiral anomaly”, Theoret. and Math. Phys., 69:2 (1986), 1093–1101  mathnet  crossref  mathscinet  adsnasa  isi  scopus
87. V. K. Krivoshchekov, P. B. Medvedev, L. O. Chekhov, “Explicit form of non-Abelian self-consistent chiral supersymmetric anomaly”, Theoret. and Math. Phys., 68:2 (1986), 796–801  mathnet  crossref  mathscinet  adsnasa  isi  scopus
88. L. O. Chekhov, “Nonlinear $\sigma$ model in the case of $N\times\alpha N$ rectangular matrices in two-dimensional Euclidean space”, Theoret. and Math. Phys., 63:3 (1985), 570–576  mathnet  crossref  mathscinet  adsnasa  isi  scopus

ArXiv

89. Jorgen Ellegaard Andersen, Gaetan Borot, Leonid O. Chekhov, Nicolas Orantin, The ABCD of topological recursion, 2017 , 75 pp., arXiv: 1703.03307
90. Leonid Chekhov, Marta Mazzocco, Vladimir Rubtsov, Algebras of quantum monodromy data and decorated character varieties, 2017 , 22 pp., arXiv: 1705.01447
91. L. Chekhov, M. Mazzocco, Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces, 2013 , 22 pp., arXiv: 1309.3493
92. L. Chekhov, M. Mazzocco, Poisson algebras of block-upper-triangular bilinear forms and braid group action, 2010 , 22 pp., arXiv: 1012.5251

Personalia

93. V. M. Buchstaber, A. N. Varchenko, A. P. Veselov, P. G. Grinevich, S. Grushevsky, S. Yu. Dobrokhotov, A. V. Zabrodin, A. V. Marshakov, A. E. Mironov, N. A. Nekrasov, S. P. Novikov, A. Yu. Okounkov, M. A. Olshanetsky, A. K. Pogrebkov, I. A. Taimanov, M. A. Tsfasman, L. O. Chekhov, O. K. Sheinman, S. B. Shlosman, “Igor' Moiseevich Krichever (on his 70th birthday)”, Russian Math. Surveys, 76:4 (2021), 733–743  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
94. V. M. Buchstaber, L. O. Chekhov, S. Yu. Dobrokhotov, S. M. Gusein-Zade, Yu. S. Ilyashenko, S. M. Natanzon, S. P. Novikov, G. I. Olshanski, A. K. Pogrebkov, O. K. Sheinman, S. B. Shlosman, M. A. Tsfasman, “Igor Krichever”, Mosc. Math. J., 10:4 (2010), 833–834  mathnet

Letters, errata

95. J.. Ambjørn, L. Chekhov, C. F. Kristjansen, Yu. Makeenko, “Erratum: “Matrix model calculations beyond the spherical limit” [Nuclear Phys. B 404 (1993), no. 1-2, 127–172]”, Nuclear Phys. B, 449:3 (1995), 681  crossref  mathscinet  zmath  adsnasa  isi  scopus; ; ;  zmath 46

Presentations in Math-Net.Ru
1. Лог-канонические координаты для симплектических группоидов и кластерных алгебр
L. O. Chekhov
Annual Session of Steklov Mathematical Institute (Best results 2023)
November 15, 2023 18:05   
2. Solving symplectic groupoid: quantization and integrability
L. O. Chekhov
Academician Andrei A. Slavnov memorial conference
December 21, 2022 16:30   
3. Integrable structures on directed networks
L. O. Chekhov
International Conference "Integrability" Dedicated to 75th Anniversary of A. K. Pogrebkov
September 22, 2021 17:00   
4. Cluster variables for affine Lie–Poisson systems
L. O. Chekhov
International conference in memory of M. K. Polivanov "Polivanov–90"
December 17, 2020 17:30   
5. Кластерные координаты Дарбу для симплектического группоида
L. O. Chekhov
Characteristic classes and intersection theory
December 10, 2020 18:00   
6. Fenchel—Nielssen coordinates and the Goldman bracket
L. O. Chekhov
Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2020
November 25, 2020 17:15   
7. Darboux coordinates for a symplectic groupoid and cluster coordinates algebras
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
May 27, 2020 17:00   
8. Многообразия характеров и квантовые кластерные алгебры
L. O. Chekhov

May 16, 2019 18:30
9. Algebras of quantum monodromy data and decorated character varieties
L. O. Chekhov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
August 23, 2017 15:05
10. ABCD топологической рекурсии
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
May 31, 2017 14:00
11. Grothendieck's dessins d'enfant and matrix models
L. O. Chekhov

May 25, 2017 12:30   
12. Mystery of RNA folding - chord diagrams and random matrices
L. O. Chekhov

May 18, 2017 13:15   
13. The Harer–Zagier recursion for 1-point correlation functions
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
December 14, 2016 14:00
14. Топологическая рекурсия: геометрия и интегрируемые системы. Лекция 9
L. O. Chekhov

December 9, 2016 18:00   
15. Топологическая рекурсия: геометрия и интегрируемые системы. Лекция 8
L. O. Chekhov

November 24, 2016   
16. Топологическая рекурсия: геометрия и интегрируемые системы. Лекция 7
L. O. Chekhov

November 21, 2016 18:00   
17. Топологическая рекурсия: геометрия и интегрируемые системы. Лекция 6
L. O. Chekhov

November 18, 2016 18:00   
18. Топологическая рекурсия: геометрия и интегрируемые системы. Лекция 5
L. O. Chekhov

November 3, 2016 18:00   
19. Топологическая рекурсия: геометрия и интегрируемые системы. Лекция 4
L. O. Chekhov

October 7, 2016 18:00   
20. Топологическая рекурсия: геометрия и интегрируемые системы. Лекция 3
L. O. Chekhov

September 30, 2016 18:00   
21. Топологическая рекурсия: геометрия и интегрируемые системы. Лекция 2
L. O. Chekhov

September 23, 2016 18:00   
22. Топологическая рекурсия: геометрия и интегрируемые системы. Лекция 1
L. O. Chekhov

September 9, 2016 18:00   
23. Quantum cluster algebras and character varieties of SL(2,R)-monodromy problem
L. O. Chekhov
III International Conference "Quantum Topology"
June 22, 2016 11:20   
24. Riemann surfaces with boundary cusps and quantum clusters algebras
L. O. Chekhov
Complex analysis and mathematical physics
December 15, 2015 16:00
25. Геометрическая природа квантовых кластерных алгебр
L. O. Chekhov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
August 26, 2015 14:00
26. Вырождения алгебр геодезических: “жевательные резинки” и квантовые кластерные алгебры
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 8, 2015 14:00
27. Hurwitz numbers, Belyi pairs, Grothendieck dessins d'enfant, and matrix models
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
January 14, 2015 14:00
28. Гипергеометрические числа Гурвица, детские рисунки Гротендика и матричные модели
Leonid Chekhov
Annual memorial conference dedicated to the memory of Andrei Nikolaevich Tyurin
October 28, 2014 16:10   
29. From chord diagrams to cohomological field theories
L. O. Chekhov
Random geometry and physics
September 9, 2014 10:50   
30. Квантование пространств Тейхмюллера и алгебры монодромий $2\times2$ систем Шлезингера
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
October 16, 2013 14:00
31. Квантовая теория Лиувилля и квантовые римановы поверхности (продолжение)
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 10, 2013 14:00
32. Квантовая теория Лиувилля и квантовые римановы поверхности
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 3, 2013 14:00
33. Матричная модель с внешним полем, гауссовы средние и вырождения пространств модулей
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
December 28, 2011 14:00
34. Группоид блочно-верхне-треугольных матриц
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
June 15, 2011 14:00
35. $\beta$-ансамбли и квантовые римановы поверхности (продолжение)
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
February 16, 2011 14:00
36. Matrix Models: asymptotic decompositions and algebro-geometric methods of its solution
L. O. Chekhov
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
February 14, 2011 13:00
37. $\beta$-ансамбли и квантовые римановы поверхности
L. O. Chekhov
Riemann surfaces, Lie algebras and mathematical physics
January 28, 2011 17:00
38. $\beta$-ансамбли и квантовые римановы поверхности
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
January 19, 2011 14:00
39. Квантовые римановы поверхности, связанные с уравнением Шрёдингера: поправки «старших родов»
L. O. Chekhov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
July 21, 2010 14:00
40. Квантовая алгебраическая геометрия
L. O. Chekhov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
April 7, 2010 18:30
41. Квантовые поверхности, ассоциированные с уравнением Шредингера
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
March 3, 2010 14:00
42. Алгебры твистованных янгианов, возникающие в пространствах Тейхмюллера Twisted Yangians algebras arising in Teichmüller spaces
L. O. Chekhov
International conference "ALGEBRAIC GEOMETRY: Methods, Relations, and Applications" dedicated to the 70th birthday anniversary of Andrei Nikolaevich Tyurin
February 26, 2010 11:45   
43. Янгианные алгебры, возникающие в теории Тейхмюллера
L. O. Chekhov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
August 19, 2009 14:00
44. Correlation functions on quantum surfaces and $1/N$ expansion
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
November 19, 2008 14:00
45. Teichmuller theory of bordered surfaces. Part II
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 25, 2007 14:00
46. Teichmuller spaces of bordered surfaces and integrability
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 4, 2007 14:00
47. The limit of infinite (continuous) genus for Teichmuller spaces and CFT
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
March 22, 2006
48. Feynman graph technique for calulations in matrix models
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
June 1, 2005
49. $AdS_2/CFT_3$ on torus in the sum over geometries
L. O. Chekhov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
September 15, 2004

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