dorsal/arxiv
View SchemaElliptic Algebras and Equivariant Elliptic Cohomology
| Authors | Victor Ginzburg, Mikhail Kapranov, Eric Vasserot |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9505012 |
| URL | https://arxiv.org/abs/q-alg/9505012 |
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.
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"date_created": "2026-03-02T18:01:24.906000Z",
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"abstract": "In this paper we explain the parallelism in the classification of three\ndifferent kinds of mathematical objects:\n (i) Classical r-matrices.\n (ii) Generalized cohomology theories that have Chern classes for complex\nvector bundles.\n (iii) 1-dimensional formal groups.\n The main point of the paper is a construction of the elliptic algebra\nassociated to Belavin\u0027s classical elliptic r-matrix in terms of Equivariant\nelliptic cohomology of the Steinberg varieties associated to some partial flag\nmanifolds.",
"arxiv_id": "q-alg/9505012",
"authors": [
"Victor Ginzburg",
"Mikhail Kapranov",
"Eric Vasserot"
],
"categories": [
"q-alg",
"alg-geom",
"math.AG",
"math.QA"
],
"title": "Elliptic Algebras and Equivariant Elliptic Cohomology",
"url": "https://arxiv.org/abs/q-alg/9505012"
},
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