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arXiv · 1909.11247

DAHAs and skein theory

Hugh Morton·Peter Samuelson
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Abstract

We give a skein-theoretic realization of the $\mathfrak{gl}_n$ double affine Hecke algebra of Cherednik using braids and tangles in the punctured torus. We use this to provide evidence of a relationship we conjecture between the classical skein algebra of the punctured torus and the elliptic Hall algebra of Burban and Schiffmann.

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BibTeXRIS

Hugh Morton, Peter Samuelson. 2019-09-25. DAHAs and skein theory. https://arxiv.org/abs/1909.11247

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