L. O. Chekhov, M. Mazzocco, “Isomonodromic deformations and twisted
Yangians arising in Teichmuller theory”, Advances in Mathematics, 226:6 (2011), 4731–4775
L. Chekhov, B. Eynard, and N. Orantin, “Free energy topological expansion for the 2-matrix model”, JHEP, 12:12 (2006), 053, 30 с.
L. Chekhov, B. Eynard, “Hermitean matrix model free energy: Feynman graph technique
for all genera”, JHEP, 0603 (2006), 014, 20 с.
V. V. Fok, L. O. Chekhov, “Kvantovye prostranstva Teikhmyullera”, TMF, 120:3 (1999), 511–528
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
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
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)
L. Chekhov, B. Eynard, “Matrix eigenvalue model: Feynman graph technique for all genera”, J. High Energy Phys., 2006, no. 12, 026 , 29 pp. (electronic)
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
9.
L. Chekhov, Yu. Makeenko, “A hint on the external field problem for matrix models”, Phys. Lett. B, 278:3 (1992), 271–278
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
L. O. Chekhov, A. V. Marshakov, A. D. Mironov, D. Vasiliev, “Complex Geometry of Matrix Models”, Proc. Steklov Inst. Math., 251 (2005), 254–292
14.
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
L. O. Chekhov, “Genus-One Correction to Multicut Matrix Model Solutions”, Theoret. and Math. Phys., 141:3 (2004), 1640–1653
18.
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
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
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
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
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
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
32.
Leonid Chekhov, Marta Mazzocco, Vladimir Rubtsov, “Quantised Painlevé monodromy manifolds, Sklyanin and Calabi–Yau algebras”, Adv. Math., 376 (2021), 107442 , 52 pp. ;
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
L. O. Chekhov, R. C. Penner, “Introduction to quantum Thurston theory”, Russian Math. Surveys, 58:6 (2003), 1141–1183
37.
Leonid Chekhov, Marta Mazzocco, “Colliding holes in Riemann surfaces and quantum cluster algebras”, Nonlinearity, 31:1 (2018), 54–107 , arXiv: 1509.07044v4
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
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
40.
L. Chekhov, A. Zabrodin, “A critical matrix model for nonoriented string”, Modern Phys. Lett. A, 6:34 (1991), 3143–3152
Leonid O. Chekhov, Michael Shapiro, “Log-Canonical Coordinates for Symplectic Groupoid and Cluster Algebras”, Int. Math. Res. Not. IMRN, 2023:11 (2023), 9565–9652;
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.
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
44.
L. O. Chekhov, “A spectral problem on graphs and $L$-functions”, Russian Math. Surveys, 54:6 (1999), 1197–1232
45.
K. L. Zarembo, L. O. Chekhov, “Multicut solutions of the matrix Kontsevich–Penner model”, Theoret. and Math. Phys., 93:2 (1992), 1328–1336
46.
L. O. Chekhov, Yu. M. Zinoviev, “$p$-adic string compactified on a torus”, Comm. Math. Phys., 130:3 (1990), 623–631
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
L. O. Chekhov, “Logarithmic potential $\beta$-ensembles and Feynman graphs”, Proc. Steklov Inst. Math., 272 (2011), 58–74
51.
M. Mazzocco, L. O. Chekhov, “Orbifold Riemann surfaces: Teichmüller spaces and algebras of geodesic functions”, Russian Math. Surveys, 64:6 (2009), 1079–1130
52.
L. O. Chekhov, “Solving matrix models in $1/N$-expansion”, Russian Math. Surveys, 61:3 (2006), 483–543
53.
L. Chekhov, “$\mathrm{AdS}_3/\mathrm{CFT}_2$ correspondence at finite temperature”, Modern Phys. Lett. A, 14:31 (1999), 2157–2168
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
56.
Leonid O. Chekhov, “Symplectic Structures on Teichmüller Spaces $\mathfrak T_{g,s,n}$ and Cluster Algebras”, Proc. Steklov Inst. Math., 309 (2020), 87–96
57.
L. O. Chekhov, N. V. Puzyrnikova, “Integrable systems on graphs”, Russian Math. Surveys, 55:5 (2000), 992–994
58.
L. Chekhov, K. Zarembo, “Effective action and measure in matrix model of IIB superstrings”, Modern Phys. Lett. A, 12:31 (1997), 2331–2340
V. K. Krivoshchekov, L. O. Chekhov, “Effective action for supersymmetric chiral anomaly”, Theoret. and Math. Phys., 69:2 (1986), 1093–1101
60.
L. Chekhov, M. Mazzocco, “Teichmüller spaces as degenerated symplectic leaves in Dubrovin-Ugaglia Poisson manifolds”, Phys. D, 241:23-24 (2012), 2109–2121
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
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
68.
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
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
73.
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
74.
L. O. Chekhov, “Fenchel–Nielsen coordinates and Goldman brackets”, Russian Math. Surveys, 75:5 (2020), 929–964
75.
Jorgen Ellegaard Andersen, Gaetan Borot, Leonid O. Chekhov, Nicolas Orantin, The ABCD of topological recursion, 2017 , 75 pp., arXiv: 1703.03307
76.
Leonid Chekhov, Marta Mazzocco, Vladimir Rubtsov, Algebras of quantum monodromy data and decorated character varieties, 2017 , 22 pp., arXiv: 1705.01447
77.
L. Chekhov, M. Mazzocco, Quantum ordering for quantum geodesic functions of orbifold Riemann surfaces, 2013 , 22 pp., arXiv: 1309.3493
78.
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
79.
L. Chekhov, M. Mazzocco, Poisson algebras of block-upper-triangular bilinear forms and braid group action, 2010 , 22 pp., arXiv: 1012.5251
80.
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
81.
L. Chekhov, J. E. Nelson, T. Regge, “Extension of geodesic algebras to continuous genus”, Lett. Math. Phys., 78:1 (2006), 17–26
82.
L. Chekhov, “Quantizing Teichmüller spaces using graphs”, Woods Hole mathematics, Ser. Knots Everything, 34, World Sci. Publ., Hackensack, NJ, 2004, 1–26
83.
L. O. Chekhov, “Integrable deformations of systems on graphs with loops”, Russian Math. Surveys, 57:3 (2002), 587–588
84.
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
85.
L. O. Chekhov, “Observables in $2+1$ Gravity and Noncommutative Teichmüller Spaces”, Theoret. and Math. Phys., 129:2 (2001), 1609–1616
86.
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
87.
J. Ambjørn, L. Chekhov, “The NBI matrix model of IIB superstrings”, J. High Energy Phys., 1998, no. 12, 7 , 13 pp.
88.
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
89.
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
90.
L. Chekhov, Yu. Zinoviev, “$p$-adic string compactified on a torus”, Lett. Math. Phys., 20:3 (1990), 211–219
91.
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
92.
L. O. Chekhov, “Cluster variables for affine Lie–Poisson systems”, Theoret. and Math. Phys., 217:3 (2023), 1987–2004
93.
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
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
95.
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
Integrable structures on directed networks L. O. Chekhov International Conference "Integrability" Dedicated to 75th Anniversary of A. K. Pogrebkov September 22, 2021 17:00
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 (Novikov Seminar) August 26, 2015 14:00
Квантовая алгебраическая геометрия L. O. Chekhov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) April 7, 2010 18:30
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 (Novikov Seminar) August 19, 2009 14:00