An action of gl(1|1) on odd annular Khovanov homology

Abstract

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

20 pages, 4 figures

References in corpus (3)

• The Alexander polynomial as quantum invariant of links
• An integral lift, starting in odd Khovanov homology, of Szabó's spectral sequence
• A self-pairing theorem for tangle Floer homology