Elliptic Algebras and Equivariant Elliptic Cohomology
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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.
28 pages, Plain TeX
28 pages, Plain TeX