DAHAs and skein theory


Morton, Hugh ORCID: 0000-0002-8524-2695 and Samuelson, Peter (2021) DAHAs and skein theory. Communications in Mathematical Physics, 385 (3). pp. 1655-1693.

This is the latest version of this item.

[img] Text
DAHAskein_CMP_revised_2021_02_02.pdf - Author Accepted Manuscript
Download (515kB) | Preview

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.

Item Type: Article
Additional Information: Preliminary version, comments welcome! 25 pages, many figures. V2: added some details, diagrams, comments, and subtracted some typos
Uncontrolled Keywords: math.QA, math.QA, math.RT
Depositing User: Symplectic Admin
Date Deposited: 24 Feb 2021 16:26
Last Modified: 18 Jan 2023 22:58
DOI: 10.1007/s00220-021-04052-8
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3115973

Available Versions of this Item

Dimensions
Altmetric
CORE (COnnecting REpositories)