Equivariant annular Khovanov homology

Published 2 Aug 2020 in math.QA and math.GT | (2008.00577v1)

Abstract: We construct an equivariant version of annular Khovanov homology via the Frobenius algebra associated with $U(1) \times U(1)$-equivariant cohomology of $\mathbb{CP}^1$. Motivated by the relationship between the Temperley-Lieb algebra and annular Khovanov homology, we also introduce an equivariant analogue of the Temperley-Lieb algebra.

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Rostislav Akhmechet

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