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Journal of Physics A: Mathematical and Theoretical, 2013, Volume 46, Issue 3, 35201, 25 pp.
DOI: https://doi.org/10.1088/1751-8113/46/3/035201
(Mi jpha16)
 

This article is cited in 17 scientific papers (total in 17 papers)

Characteristic classes of SL(N,C)SL(N,C)-bundles and quantum dynamical elliptic R-matrices

A. Levinab, M. Olshanetskyb, A. Smirnovbc, A. Zotovb

a Laboratory of Algebraic Geometry, GU-HSE, 7 Vavilova Str., Moscow, 117312, Russia
b Institute of Theoretical and Experimental Physics, Moscow, 117218, Russia
c Mathematical Department, Columbia University, New York, NY 10027, USA
Citations (17)
Funding agency Grant number
Russian Foundation for Basic Research 09-02-00393
09-01-92437
09-01-93106
12-01-00482
12-01-33071
Federal Agency for Science and Innovations of Russian Federation 14.740.11.0347
Ministry of Education and Science of the Russian Federation MK-1646.2011.1
11 11.G34.31.0023
The work was supported by grants RFBR-09-02-00393, RFBR-09-01-92437-KE_a and by the Federal Agency for Science and Innovations of Russian Federation under contract 14.740.11.0347. The work of AZ and AS was also supported by the Russian President fund MK-1646.2011.1, RFBR-09-01-93106-NCNIL_a, RFBR-12-01-00482 and RFBR-12-01-33071 molaved. The work of AL was partially supported by AG Laboratory GU-HSE, RF government grant, ag. 11 11.G34.31.0023.
Received: 29.08.2012
Revised: 15.11.2012
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/jpha16
  • This publication is cited in the following 17 articles:
    1. M. Matushko, Andrei Zotov, “Anisotropic spin generalization of elliptic Macdonald–Ruijsenaars operators and R-matrix identities”, Ann. Henri Poincaré, 24 (2023), 3373–3419  mathnet  crossref
    2. E. Trunina, A. Zotov, “Lax equations for relativistic GL(NM,C) Gaudin models on elliptic curve”, J. Phys. A, 55:39 (2022), 395202–31  mathnet  crossref
    3. I. A. Sechin, A. V. Zotov, “Quadratic algebras based on SL(NM) elliptic quantum R-matrices”, Theoret. and Math. Phys., 208:2 (2021), 1156–1164  mathnet  mathnet  crossref  crossref  isi  scopus
    4. K. Atalikov, A. Zotov, “Field theory generalizations of two-body Calogero–Moser models in the form of Landau–Lifshitz equations”, J. Geom. Phys., 2021, 104161–14  mathnet  crossref  isi  scopus
    5. I. A. Sechin, A. V. Zotov, “Integrable system of generalized relativistic interacting tops”, Theoret. and Math. Phys., 205:1 (2020), 1291–1302  mathnet  mathnet  crossref  crossref  isi  scopus
    6. I. A. Sechin, A. V. Zotov, “GLNM quantum dynamical R-matrix based on solution of the associative Yang–Baxter equation”, Russian Math. Surveys, 74:4 (2019), 767–769  mathnet  mathnet  crossref  crossref  isi  scopus
    7. M. Vasilyev, A. Zotov, “On factorized Lax pairs for classical many-body integrable systems”, Rev. Math. Phys., 31:6 (2019), 1930002–45  mathnet  crossref  isi  scopus
    8. A. V. Zotov, “Relativistic interacting integrable elliptic tops”, Theoret. and Math. Phys., 201:2 (2019), 1565–1580  mathnet  mathnet  crossref  crossref  isi  scopus
    9. A. Grekov, I. Sechin, A. Zotov, “Generalized model of interacting integrable tops”, JHEP, 2019:10 (2019), 81–33  mathnet  crossref  isi  scopus
    10. A. V. Zotov, “Calogero–Moser model and R-matrix identities”, Theoret. and Math. Phys., 197:3 (2018), 1755–1770  mathnet  mathnet  crossref  crossref  isi  scopus
    11. A. Grekov, A. Zotov, “On R-matrix valued Lax pairs for Calogero–Moser models”, J. Phys. A, 51 (2018), 315202–26  mathnet  crossref  isi  scopus
    12. A. Levin, M. Olshanetsky, A. Zotov, “Yang–Baxter equations with two Planck constants”, J. Phys. A, 49:1 (2016), 14003–19  mathnet  crossref  isi  scopus
    13. A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Classification of isomonodromy problems on elliptic curves”, Russian Math. Surveys, 69:1 (2014), 35–118  mathnet  mathnet  crossref  crossref  isi  scopus
    14. A. Levin, M. Olshanetsky, A. Zotov, “Classical integrable systems and soliton equations related to eleven-vertex R-matrix”, Nuclear Phys. B, 887 (2014), 400–422  mathnet  crossref  isi  scopus
    15. G. Aminov, S. Arthamonov, A. Smirnov, A. Zotov, “Rational top and its classical r-matrix”, J. Phys. A, 47:30 (2014), 305207–19  mathnet  crossref  isi  scopus
    16. A. V. Zotov, A. V. Smirnov, “Modifications of bundles, elliptic integrable systems, and related problems”, Theoret. and Math. Phys., 177:1 (2013), 1281–1338  mathnet  mathnet  crossref  crossref  isi  scopus
    17. A.  Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Characteristic classes and Hitchin systems. General construction”, Comm. Math. Phys., 316:1 (2012), 1–44  mathnet  crossref  isi  scopus
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