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Communications in Mathematical Physics, 2012, Volume 316, Issue 1, Pages 1–44
DOI: https://doi.org/10.1007/s00220-012-1585-x
(Mi cmph10)
 

This article is cited in 18 scientific papers (total in 18 papers)

Characteristic classes and Hitchin systems. General construction

A.  Levinabc, M. Olshanetskyca, A. Smirnovad, A. Zotova

a Institute of Theoretical and Experimental Physics, Moscow 117218, Russia
b Laboratory of Algebraic Geometry, GU-HSE, 7 Vavilova Str., Moscow 117312, Russia
c Max Planck Institute for Mathematics, Vivatsgasse 7, Bonn 53111, Germany
d Math. Dept., Columbia University, New York, NY 10027, USA
Citations (18)
Funding agency Grant number
Russian Foundation for Basic Research 09-02-00393
-09-01-92437
09-01-93106
Ministry of Education and Science of the Russian Federation NSh-3036.2008.2
MK-1646.2011.1
11.G34.31.0023
Federal Agency for Science and Innovations of Russian Federation 14.740.11.0347
14.740.11.0081
Dynasty Foundation
The work was supported by grants RFBR-09-02-00393, RFBR-09-01-92437-KE_a, RFBR-09-01-93106-NCNILa (A.Z. and A. S.), NSh-3036.2008.2 and by the Federal Agency for Science and Innovations of Russian Federation under contracts 14.740.11.0347 (A. L and M.O), 14.740.11.0081 (A.Z. and A. S.), President fund MK-1646.2011.1 (A.Z. and A. S.). The work of A.Z. was also supported by the Dynasty fund. The work of A. L. was partially supported by AG Laboratory GU-HSE, RF government grant, ag. 11 11.G34.31.0023.
Received: 30.07.2010
Revised: 24.12.2011
Accepted: 01.06.2012
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/cmph10
  • This publication is cited in the following 18 articles:
    1. A. Levin, M. Olshanetsky, A. Zotov, “2D Integrable systems, 4D Chern–Simons theory and affine Higgs bundles”, Eur. Phys. J. C, Part. Fields, 82 (2022), 635–14  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. E. S. Trunina, A. V. Zotov, “Multi-pole extension of the elliptic models of interacting integrable tops”, Theoret. and Math. Phys., 209:1 (2021), 1331–1356  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    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  crossref  crossref  mathscinet  adsnasa  isi  elib
    6. 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
    7. A. Grekov, I. Sechin, A. Zotov, “Generalized model of interacting integrable tops”, JHEP, 2019:10 (2019), 81–33  mathnet  crossref  isi  scopus
    8. A. V. Zotov, “Calogero–Moser model and R-matrix identities”, Theoret. and Math. Phys., 197:3 (2018), 1755–1770  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    9. 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
    10. Andrey Levin, Mikhail Olshanetsky, Andrei Zotov, “Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation”, J. Phys. A, 49:39 (2016), 395202–26  mathnet  crossref  isi  scopus
    11. A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Geometry of Higgs bundles over elliptic curves related to automorphisms of simple Lie algebras, Calogero–Moser systems, and KZB equations”, Theoret. and Math. Phys., 188:2 (2016), 1121–1154  mathnet  mathnet  crossref  crossref  isi  scopus
    12. A. Zabrodin, A. Zotov, “Classical-quantum correspondence and functional relations for Painlevé equations”, Constr. Approx., 41:3 (2015), 385–423  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. 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
    15. A. Gorsky, A. Zabrodin, A. Zotov, “Spectrum of quantum transfer matrices via classical many-body systems”, JHEP, 2014, no. 1, 70–28  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 of SL(N,C)-bundles and quantum dynamical elliptic R-matrices”, J. Phys. A, 46:3 (2013), 35201–25  mathnet  crossref  isi  scopus
    18. G. Aminov, A. Mironov, A.  Morozov, A. Zotov, “Three-particle integrable systems with elliptic dependence on momenta and theta function identities”, Phys. Lett. B, 726:4 (2013), 802–808  mathnet  crossref  isi  scopus
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