Elliptic Algebras and Equivariant Elliptic Cohomology

Details Elliptic Algebras and Equivariant Elliptic Cohomology Elliptic Algebras and Equivariant Elliptic Cohomology

1995-05-16

arxiv.org/abs/q-alg/9505012v1

Mathematics

Algebraic Geometry

28 pages, Plain TeX

Scientific paper

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.

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