Meromorphic braided category arising in quantum affine algebras
Yan Soibelman
TL;DR
This paper constructs a category of flat vector bundles on an elliptic curve, revealing a meromorphic braided structure linked to quantum affine algebra representations, with singularities on the diagonal.
Contribution
It introduces a new category of flat vector bundles with a meromorphic braided structure arising from quantum affine algebra representations.
Findings
Category exhibits meromorphic braiding with singularities on the diagonal
Connects geometric vector bundles to quantum affine algebra representations
Provides a framework for studying quantum algebraic structures geometrically
Abstract
We construct a category of flat vector bundles on an elliptic curve. It arises in the representation theory of quantum affine algebras and carries meromorphic braided structure with singularities on the diagonal of the square of the curve.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra