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arXiv · 2401.06737

Skein algebras and quantized Coulomb branches

Dylan G. L. Allegretti·Peng Shan
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Abstract

To a compact oriented surface of genus at most one with boundary, we associate a quantized $K$-theoretic Coulomb branch in the sense of Braverman, Finkelberg, and Nakajima. In the case where the surface is a three- or four-holed sphere or a one-holed torus, we describe a relationship between this quantized Coulomb branch and the Kauffman bracket skein algebra of the surface. We formulate a general conjecture relating these algebras.

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BibTeXRIS

Dylan G. L. Allegretti, Peng Shan. 2024-01-12. Skein algebras and quantized Coulomb branches. https://arxiv.org/abs/2401.06737

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