Zobrazeno 1 - 10
of 50
pro vyhledávání: '"M. A. Olshanetsky"'
Autor:
M. A. Olshanetsky
Publikováno v:
Theoretical and Mathematical Physics. 208:1061-1074
In this article we consider two particular examples of general construction proposed in arXiv:2012.15529. We consider the integrable extensions of the classical elliptic Calogero-Moser model of N particles with spin and the integrable Euler-Arnold to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::648ca94e2c851884593a14168b8a1943
https://doi.org/10.1134/s0040577921080067
https://doi.org/10.1134/s0040577921080067
Autor:
Iskander A. Taimanov, Nikita Nekrasov, Petr Georgievich Grinevich, O. K. Sheinman, Sergey Novikov, M. A. Olshanetsky, A. N. Varchenko, Leonid Chekhov, S. Yu. Dobrokhotov, Semen Bensionovich Shlosman, Andrei Marshakov, Andrei Mironov, Aleksandr Petrovich Veselov, Michael Anatol'evich Tsfasman, Viktor M Buchstaber, A. K. Pogrebkov, S. M. Grushevsky, Anton Zabrodin, A. Yu. Okounkov
Publikováno v:
Russian Mathematical Surveys. 76:733-743
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3dfeb8e19d731f0c0aa6b329fd0467e4
https://doi.org/10.1070/rm10015
https://doi.org/10.1070/rm10015
We introduce a notion of quasi-antisymmetric Higgs $G$-bundles over curves with marked points. They are endowed with additional structures, which replace the parabolic structures at marked points in the parabolic Higgs bundles. The latter means that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e6fb6b7b8b479b9651c02392e8a91a64
Publikováno v:
Nuclear Physics B
Nuclear Physics B, Vol 887, Iss C, Pp 400-422 (2014)
Nuclear Physics B, Vol 887, Iss C, Pp 400-422 (2014)
In our recent paper we suggested a natural construction of the classical relativistic integrable tops in terms of the quantum $R$-matrices. Here we study the simplest case -- the 11-vertex $R$-matrix and related ${\rm gl}_2$ rational models. The corr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1925a8909fd3976c11ccd9956cd794a6
Publikováno v:
Russian Mathematical Surveys. 69:35-118
We consider the isomonodromy problems for flat $G$-bundles over punctured elliptic curves $\Sigma_\tau$ with regular singularities of connections at marked points. The bundles are classified by their characteristic classes. These classes are elements
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c74d51fee949bf8c19b0381eb537770
https://doi.org/10.1070/rm2014v069n01abeh004878
https://doi.org/10.1070/rm2014v069n01abeh004878
Autor:
A. Yu. Morozov, M. A. Olshanetsky
The Theory Department of the Institute of Theoretical and Experimental Physics (ITEP) is internationally recognized for achievements in various branches of theoretical physics. The seminars at ITEP for many years have been among the main centers of s
In this paper we suggest generalizations of elliptic integrable tops to matrix-valued variables. Our consideration is based on $R$-matrix description which provides Lax pairs in terms of quantum and classical $R$-matrices. First, we prove that for re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f2e6ea815242a010ba0b9a5e08f4b13
Publikováno v:
Communications in Mathematical Physics. 316:1-44
We consider topologically non-trivial Higgs G-bundles over Riemann surfaces Σg with marked points and the corresponding Hitchin systems. We show that if G is not simply-connected, then there exists a finite number of different sectors of the Higgs b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c7b1be171614b89c9a4e73701488f97
https://doi.org/10.1007/s00220-012-1585-x
https://doi.org/10.1007/s00220-012-1585-x
Publikováno v:
Journal of Geometry and Physics. 62:1810-1850
This paper is a continuation of our paper Levin et al. [1] . We consider Modified Calogero–Moser (CM) systems corresponding to the Higgs bundles with an arbitrary characteristic class over elliptic curves. These systems are generalization of the cl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::14ae66d1e9d74d9abeb5be0e5fdae0b3
https://doi.org/10.1016/j.geomphys.2012.03.012
https://doi.org/10.1016/j.geomphys.2012.03.012
Autor:
M. A. Olshanetsky
Publikováno v:
Theoretical and Mathematical Physics. 150:301-314
We construct a quadratic Poisson algebra of Hamiltonian functions on a two-dimensional torus compatible with the canonical Poisson structure. This algebra is an infinite-dimensional generalization of the classical Sklyanin-Feigin-Odesskii algebras. I
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::87af91e5a64ec411af00f7d9d667bfa1
https://doi.org/10.1007/s11232-007-0023-2
https://doi.org/10.1007/s11232-007-0023-2