Andrey Levin

Publications⁴¹

• Article Levin A., Olshanetsky M., Zotov A. Generalizations of parabolic Higgs bundles, real structures, and integrability // Journal of Mathematical Physics. 2021. Vol. 62. No. 10. Article 103502. doi
• Article A. Levin, M. Olshanetsky, A. Zotov. Odd supersymmetric Kronecker elliptic function and Yang–Baxter equations // Journal of Mathematical Physics. 2020. Vol. 61. P. 103504. doi
• Article Levin A., Olshanetsky M., Zotov A. Odd supersymmetrization of elliptic R-matrices // Journal of Physics A: Mathematical and Theoretical. 2020. Vol. 53. No. 18. P. 1-16. doi
• Preprint A. Levin, M. Olshanetsky, A. Zotov. Odd supersymmetric Kronecker elliptic function and Yang-Baxter equations / Cornell University. Series arXiv:1910.01814 "math-ph". 2019.
• Preprint A. Levin, M. Olshanetsy, A. Zotov. Odd supersymmetrization of elliptic R-matrices / Cornell University. Series arXiv:1910.05712 "math-ph". 2019.
• Article Черняков Ю. Б., Харчев С. М., Левин А.М., Ольшанецкий М. А., Зотов А. В. Обобщенные модели Калоджеро и Тоды // Письма в Журнал экспериментальной и теоретической физики. 2019. Т. 109. № 2. С. 131-138. doi
• Article Kharchev S., Levin A., Olshanetsky M., Zotov A. Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types of spins // Journal of Mathematical Physics. 2018. Vol. 59. No. 103509. P. 1-36. doi
• Article Beilinson A., Kungs G., Levin A. Topological polylogarithms and p-adic interpolation of L-values of totally real fields // Mathematische Annalen. 2018. Vol. 371. No. 3-4. P. 1449-1495. doi
• Article Levin A., Olshanetsky M., Zotov A. Geometry of Higgs bundles over elliptic curves related to automorphisms of simple Lie algebras, Calogero–Moser systems, and KZB equations // Theoretical and Mathematical Physics. 2016. Vol. 188. No. 2. P. 1121-1154. doi
• Article Levin A., Olshanetsky M., Zotov A. Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation // Journal of Physics A: Mathematical and Theoretical. 2016. Vol. 49. No. 39. P. 1-24. doi
• Article Levin A., Olshanetsky M., Zotov A. Yang-Baxter equations with two Planck constants // Journal of Physics A: Mathematical and Theoretical. 2016. Vol. 49. No. 1. P. 14003-14021. doi
• Preprint A. Levin, Olshanetsky M., Zotov A. Baxter-Belavin R-matrices as non-abelian generalization of elliptic functions / Cornell University. Series math "arxiv.org". 2015.
• Article Aminov G., Levin A., Olshanetsky M., Zotov A. Classical integrable systems and Knizhnik-Zamolodchikov-Bernard equations // JETP Letters. 2015. Vol. 101. No. 9. P. 648-655.
• Article Levin A., Olshanetsky M., Zotov A. Quantum Baxter-Belavin R-matrices and multidimensional lax pairs for Painlevé VI // Theoretical and Mathematical Physics. 2015. Vol. 184. No. 1. P. 924-939.
• Preprint Levin A., Olshanetsky M., Zotov A. Yang-Baxter equations with two Planck constants / Cornell University. Series math "arxiv.org". 2015.
• Article A. Levin, Olshanetsky M., Zotov A. Classical integrable systems and soliton equations related to eleven-vertex R-matrix // Nuclear Physics B. 2014. Vol. 887. P. 400-422. doi
• Preprint Levin A., Olshanetsky M., Zotov A. Classical integrable systems and soliton equations related to eleven-vertex R-matrix / Cornell University. Series math "arxiv.org". 2014.
• Preprint Levin A., Olshanetsky M., Zotov A. Planck Constant as Spectral Parameter in Integrable Systems and KZB Equations / Cornell University. Series math "arxiv.org". 2014.
• Article A. Levin, Olshanetsky M., Zotov A. Planck constant as spectral parameter in integrable systems and KZB equations // Journal of High Energy Physics. 2014. Vol. 2014. No. 10:109. P. 1-29. doi
• Preprint Levin A., Olshanetsky M., Zotov A. Relativistic Classical Integrable Tops and Quantum R-matrices / Cornell University. Series math "arxiv.org". 2014.
• Article A. Levin, Olshanetsky M., Zotov A. Relativistic classical integrable tops and quantum R-matrices // Journal of High Energy Physics. 2014. Vol. 2014. No. 7:12. P. 1-39. doi
• Preprint Beilinson A., Kings G., Andrey Levin. Topological polylogarithms and p-adic interpolation of L-values of totally real fields / Cornell University. Series math "arxiv.org". 2014.
• Article Левин А. М., Ольшанецкий М. А., Зотов А. В. Классификация изомонодромных задач на эллиптических кривых // Успехи математических наук. 2014. Т. 69. № 1(415). С. 39-124.
• Article Levin A., Olshanetsky M., Smirnov A., Zotov A. Characteristic classes of SL(N)-bundles and quantum dynamical elliptic R-matrices // Journal of Physics A: Mathematical and Theoretical. 2013. Vol. 46. No. 3. P. 035201-035225.
• Preprint A. Levin, Olshanetsky M., Zotov A. Classification of Isomonodromy Problems on Elliptic Curves / Cornell University. Series math "arxiv.org". 2013.
• Preprint Aminov S., Arthamonov S., A. Levin, Olshanetsky M., Zotov A. Painleve Field Theory / Cornell University. Series math "arxiv.org". 2013.
• Preprint Brown F., Levin A. arXiv:1110.6917 Multiple Elliptic Polylogarithms Francis C. S. Brown, Andrey Levin / Cornell University. Series arXiv "math". 2013. No. 1110.6917 [.
• Article Levin A., Olshanetsky M., Smirnov A., Zotov A. Calogero-Moser systems for simple Lie groups and characteristic classes of bundles // Journal of Geometry and Physics. 2012. Vol. 62. No. 8. P. 1810-1850. doi
• Article Levin A., Olshanetsky M., Smirnov A., Zotov A. Characteristic Classes and Hitchin Systems. General Construction // Communications in Mathematical Physics. 2012. Vol. 316. No. 1. P. 1-44. doi
• Preprint Levin A., Olshanetsky M., Smirnov A., Zotov A. Characteristic Classes of SL(N)-Bundles and Quantum Dynamical Elliptic R-Matrices / Cornell University. Series math "arxiv.org". 2012.
• Article Levin A., Olshanetsky M., Smirnov A. V., Zotov A. V. Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2012. Vol. 8. No. 095 doi
• Preprint Levin A., Olshanetsky M., Smirnov A., Zotov A. Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-trivial Bundles / Cornell University. Series math "arxiv.org". 2012.
• Article Zotov A., Levin A., Olshanetsky M. Monopoles and modifications of bundles over elliptic curves // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2009. Vol. 5. No. 065. P. 1-22.
• Article Ольшанецкий М., Зотов А., Левин А. М. Квадратичные алгебры связанные с эллиптическими кривыми // Теоретическая и математическая физика. 2008. Т. 156. № 2
• Article Зотов А., Левин А. М. Интегрируемая модель взаимодействующих эллиптических волчков // Теоретическая и математическая физика. 2006. Т. 146. № 1. С. 45-52.
• Article Зотов А., Левин А. М., Ольшанецкий М. Elliptic Schlesinger system and Painlev{\'e} VI // Journal of Physics A: Mathematical and Theoretical. 2006. Т. 39. № 39
• Article Зотов А., Левин А. М., Ольшанецкий М. Painleve VI, Rigid Tops and Reflection Equation  // Communications in Mathematical Physics. 2006. Т. 268. № 1. С. 67-103.
• Article Olshanetsky M., Khesin B., Levin A. Bihamiltonian structures and quadratic algebras in hydrodynamics and on non-commutative torus // Communications in Mathematical Physics. 2004. Vol. 250. P. 581-612.
• Article Zotov A., Levin A., Olshanetsky M. Hitchin Systems - Symplectic Hecke Correspondence and Two-dimensional Version // Communications in Mathematical Physics. 2003. Vol. 236. P. 93-143.
• Article Olshanetsky M., Levin A. Isomonodromic deformations and Hitchin Systems // Translations of the American Mathematical Society. 1999. Vol. 191. No. 2. P. 223-262.
• Article Olshanetsky M., Levin A. Double coset construction of moduli space // Communications in Mathematical Physics. 1997. Vol. 188. P. 449-466.