Elliptic Algebras and Equivariant Elliptic Cohomology
q-alg
2008-02-03 v1 alg-geom
Algebraic Geometry
Quantum Algebra
Abstract
In this paper we explain the parallelism in the classification of three different kinds of mathematical objects: (i) Classical r-matrices. (ii) Generalized cohomology theories that have Chern classes for complex vector bundles. (iii) 1-dimensional formal groups. The main point of the paper is a construction of the elliptic algebra associated to Belavin's classical elliptic r-matrix in terms of Equivariant elliptic cohomology of the Steinberg varieties associated to some partial flag manifolds.
Keywords
Cite
@article{arxiv.q-alg/9505012,
title = {Elliptic Algebras and Equivariant Elliptic Cohomology},
author = {Victor Ginzburg and Mikhail Kapranov and Eric Vasserot},
journal= {arXiv preprint arXiv:q-alg/9505012},
year = {2008}
}
Comments
28 pages, Plain TeX