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A remark on quantum Hochschild homology

Robert Lipshitz

Vol. 5 (2022), No. 1, 265–267
Abstract

We observe that quantum Hochschild homology is a composition of two familiar operations, and give a short proof that it gives an invariant of annular links, in some generality. Much of this is implicit in Beliakova, Putyra and Wehrli’s work.

Keywords
Hochschild homology, trace decategorification, Chen–Khovanov algebras, annular Khovanov homology
Mathematical Subject Classification
Primary: 16E40, 57K16
Milestones
Received: 28 October 2020
Revised: 31 January 2021
Accepted: 28 April 2021
Published: 27 October 2022
Authors
Robert Lipshitz
Department of Mathematics
University of Oregon
Eugene, OR
United States