110 citations · 149 across the 5 of their papers we have counts for
5 papers
Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles
Andrey M. Levin, Mikhail A. Olshanetsky, Andrey V. Smirnov +1
We describe new families of the Knizhnik-Zamolodchikov-Bernard (KZB) equations related to the WZW-theory corresponding to the adjoint -bundles of different topological types ove…
Hamiltonian Algebroids and deformations of complex structures on Riemann curves
A. Levin, M. Olshanetsky
Starting with a Lie algebroid over a space we lift its action to the canonical transformations on the affine bundle over the cotangent bundle . Such…
Hitchin Systems - Symplectic Hecke Correspondence and Two-dimensional Version
A. M. Levin, M. A. Olshanetsky, A. Zotov
The aim of this paper is two-fold. First, we define symplectic maps between Hitchin systems related to holomorphic bundles of different degrees. We call these maps the Symplectic H…
Hamiltonian Algebroid Symmetries in W-gravity and Poisson sigma-model
A. Levin, M. Olshanetsky
Starting from a Lie algebroid over a space V we lift its action to the canonical transformations on the principle affine bundle over the cotangent bundle $T^*…
Zagier's conjecture on
A. B. Goncharov, A. M. Levin
In this paper we introduce an elliptic analog of the Bloch-Suslin complex and prove that it (essentially) computes the weight two parts of the groups and for an e…