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Voronov, Theodore Theodorovich

Statistics Math-Net.Ru
Total publications: 20
Scientific articles: 18
Presentations: 10

Number of views:
This page:2880
Abstract pages:9272
Full texts:3890
References:1014
Candidate of physico-mathematical sciences
E-mail:
Keywords: supermanifolds, Berezin integral, forms, quantization, derived brackets, Lie algebroids, graded manifolds

Subject:

Geometry, topology, mathematical physics

   
Main publications:
  1. S Hill, E S Shemyakova, and Th Th Voronov, “Darboux transformations for differential operators on the superline”, Russian Mathematical Surveys, 70:6 (2015), 1173-1175
  2. F. F. Voronov, “Ob ob'emakh klassicheskikh supermnogoobrazii”, Matem. sb., 207:11 (2016), 25–52
  3. Th. Th. Voronov, ““Nonlinear pullbacks” of functions and L∞-morphisms for homotopy Poisson structures”, DOI: 10.1016/j.geomphys.2016.10.004, J. Geom. Phys., 111 (2017), 94-110
  4. H. M. Khudaverdian and Th. Th. Voronov, “Berezinians, exterior powers and recurrent sequences”, [Berezin Memorial Volume], Lett. Math. Phys., 74:2 (2005), 201-228
  5. Th. Th. Voronov, “Higher derived brackets and homotopy algebras”, J. Pure and Appl. Algebra, 202:1-3 (2005), 133-153

https://www.mathnet.ru/eng/person28037
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/332773
https://www.researchgate.net/profile/Theodore_Voronov

Publications in Math-Net.Ru Citations
2018
1. Th. Th. Voronov, “Microformal geometry and homotopy algebras”, Trudy Mat. Inst. Steklova, 302 (2018),  98–142  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 302 (2018), 88–129  isi  scopus 11
2016
2. Th. Th. Voronov, “Thick morphisms of supermanifolds and oscillatory integral operators”, Uspekhi Mat. Nauk, 71:4(430) (2016),  187–188  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 71:4 (2016), 784–786  isi  scopus 9
3. Th. Th. Voronov, “On volumes of classical supermanifolds”, Mat. Sb., 207:11 (2016),  25–52  mathnet  mathscinet  zmath  elib; Sb. Math., 207:11 (2016), 1512–1536  isi  scopus 10
2015
4. Th. Th. Voronov, S. Hill, E. S. Shemyakova, “Darboux transformations for differential operators on the superline”, Uspekhi Mat. Nauk, 70:6(426) (2015),  207–208  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 70:6 (2015), 1173–1175  isi  scopus 11
2007
5. T. Voronov, H. M. Khudaverdian, “Generalized symmetric powers and a generalization of the Kolmogorov–Gel'fand–Buchstaber–Rees theory”, Uspekhi Mat. Nauk, 62:3(375) (2007),  209–210  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 62:3 (2007), 623–625  isi  elib  scopus 4
2003
6. F. F. Voronov, H. M. Khudaverdian, “Geometry of differential operators and odd Laplace operators”, Uspekhi Mat. Nauk, 58:1(349) (2003),  179–180  mathnet  mathscinet  zmath; Russian Math. Surveys, 58:1 (2003), 197–198  isi  scopus 3
2001
7. F. F. Voronov, “Cartan calculus for dual forms”, Uspekhi Mat. Nauk, 56:2(338) (2001),  211–212  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:2 (2001), 421–422  isi  scopus 1
1996
8. F. F. Voronov, “A complex generated by variational derivatives. A Lagrange formalism of infinite order and a generalization of Stokes's theorem”, Uspekhi Mat. Nauk, 51:6(312) (1996),  195–196  mathnet  mathscinet  zmath; Russian Math. Surveys, 51:6 (1996), 1229–1230  isi 7
1995
9. F. F. Voronov, “On the Poisson Envelope of a Lie Algebra. “Noncommutative” Moment Space”, Funktsional. Anal. i Prilozhen., 29:3 (1995),  61–64  mathnet  mathscinet  zmath; Funct. Anal. Appl., 29:3 (1995), 196–199  isi 5
1991
10. F. F. Voronov, “Characteristic classes of infinite-dimensional vector bundles”, Uspekhi Mat. Nauk, 46:3(279) (1991),  185–186  mathnet  mathscinet  zmath; Russian Math. Surveys, 46:3 (1991), 238–240  isi
1990
11. F. F. Voronov, “Quantization on supermanifolds and an analytic proof of the Atiyah–Singer index theorem”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 38 (1990),  3–118  mathnet  mathscinet  zmath; J. Soviet Math., 64:4 (1993), 993–1069 6
1988
12. Th. Th. Voronov, A. V. Zorich, “Cohomology of supermanifolds, and integral geometry”, Dokl. Akad. Nauk SSSR, 298:3 (1988),  528–533  mathnet  mathscinet  zmath; Dokl. Math., 37:1 (1988), 96–101 1
13. F. F. Voronov, A. V. Zorich, “Integration on vector bundles”, Funktsional. Anal. i Prilozhen., 22:2 (1988),  14–25  mathnet  mathscinet  zmath; Funct. Anal. Appl., 22:2 (1988), 94–103  isi 7
14. F. F. Voronov, “Class of integral transforms induced by morphisms of vector bundles”, Mat. Zametki, 44:6 (1988),  735–749  mathnet  mathscinet  zmath; Math. Notes, 44:6 (1988), 886–896  isi 2
1987
15. F. F. Voronov, A. V. Zorich, “Bordism theory and homotopy properties of supermanifolds”, Funktsional. Anal. i Prilozhen., 21:3 (1987),  77–78  mathnet  mathscinet  zmath; Funct. Anal. Appl., 21:3 (1987), 237–238  isi 4
1986
16. F. F. Voronov, A. V. Zorich, “Complex forms on supermanifolds”, Funktsional. Anal. i Prilozhen., 20:2 (1986),  58–59  mathnet  mathscinet  zmath; Funct. Anal. Appl., 20:2 (1986), 132–133  isi 11
17. F. F. Voronov, A. V. Zorich, “Integral transformations of pseudodifferential forms”, Uspekhi Mat. Nauk, 41:6(252) (1986),  167–168  mathnet  mathscinet; Russian Math. Surveys, 41:6 (1986), 221–222  isi 8
1971
18. Th. Th. Voronov, “The effect of pressure on the elastic moduli of solids”, UFN, 104:4 (1971),  684–685  mathnet; Phys. Usp., 14:4 (1972), 545 1

2020
19. A. M. Astashov, I. V. Astashova, A. V. Bocharov, V. M. Buchstaber, V. A. Vassiliev, A. Verbovetsky, A. M. Vershik, A. P. Veselov, M. M. Vinogradov, L. Vitagliano, R. F. Vitolo, Th. Th. Voronov, V. G. Kac, Y. Kosmann-Schwarzbach, I. S. Krasil'shchik, I. M. Krichever, A. P. Krishchenko, S. K. Lando, V. V. Lychagin, M. Marvan, V. P. Maslov, A. S. Mishchenko, S. P. Novikov, V. N. Rubtsov, A. V. Samokhin, A. B. Sossinsky, J. Stasheff, D. B. Fuchs, A. Ya. Khelemsky, N. G. Khor'kova, V. N. Chetverikov, A. S. Schwarz, “Alexandre Mikhailovich Vinogradov (obituary)”, Uspekhi Mat. Nauk, 75:2(452) (2020),  185–190  mathnet  mathscinet  zmath; Russian Math. Surveys, 75:2 (2020), 369–375  isi
2012
20. M. S. Agranovich, L. A. Aizenberg, G. L. Alfimov, M. I. Vishik, T. Voronov, A. V. Karabegov, M. V. Karasev, A. A. Komech, V. P. Maslov, V. V. Pukhnachov, D. E. Tamarkin, N. N. Tarkhanov, B. L. Tsygan, M. A. Shubin, “Boris Vasil'evich Fedosov (obituary)”, Uspekhi Mat. Nauk, 67:1(403) (2012),  169–176  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 67:1 (2012), 167–174  isi 1

Presentations in Math-Net.Ru
1. О супераналоге отображения Плюккера
Th. Th. Voronov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
July 24, 2019 14:00
2. On homotopy analogs of Poisson structures and Lie brackets and microformal morphisms of (super)manifolds
Th. Th. Voronov
Algebraic topology and its applications. Postnikov memorial seminar
May 22, 2018 16:45
3. Микроформальная геометрия и гомотопические алгебры
Th. Th. Voronov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
September 20, 2017 18:30
4. Microformal geometry: microformal morphisms of manifolds, nonlinear pullback of functions, applying to homotopy algebras and quantum version
Th. Th. Voronov
Complex analysis and mathematical physics
December 29, 2015 16:00
5. Нелинейный аналог обратного образа функций, морфизмы гомотопических алгебр и "микроформальная геометрия"
T. Voronov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
October 29, 2014 18:30   
6. Об объемах некоторых классических супермногообразий
F. F. Voronov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
June 4, 2014 14:00
7. Об объемах некоторых классических супермногообразий
F. F. Voronov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
May 29, 2014 11:00
8. Algebra of Densities
Theodore Voronov
International conference "Algebraic Topology and Abelian Functions" in honour of Victor Buchstaber on occasion of his 70th birthday
June 20, 2013 10:00   
9. Супергеометрия и скобки
F. F. Voronov
Meetings of the Moscow Mathematical Society
November 15, 2011 18:30
10. $Q$-многообразия и геометрические структуры
F. F. Voronov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
May 19, 2010 18:30

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