Mathematical Research Letters

Volume 27 (2020)

Number 3

An action of $\mathfrak{gl}(1 \vert 1)$ on odd annular Khovanov homology

Pages: 711 – 742

DOI: https://dx.doi.org/10.4310/MRL.2020.v27.n3.a6

Authors

J. Elisenda Grigsby (Department of Mathematics, Boston College, Chestnut Hill, Massachusetts, U.S.A.)

Stephan M. Wehrli (Department of Mathematics, Syracuse University, Syracuse, New York, U.S.A.)

Abstract

We define an annular version of odd Khovanov homology and prove that it carries an action of the Lie superalgebra $\mathfrak{gl}(1 \vert 1)$ which is preserved under annular Reidemeister moves.

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JEG was partially supported by NSF CAREER award DMS-1151671 and a grant from the Simons Foundation/SFARI (396324, JEG).

SMW was partially supported by NSF grant DMS-1111680.

Received 15 August 2018

Accepted 14 March 2019

Published 20 August 2020