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Symmetries of equivariant Khovanov-Rozansky homology

Published 19 Jun 2023 in math.GT, math.QA, and math.RT | (2306.10729v2)

Abstract: We construct an $\mathfrak{sl}_2$-action on equivariant $\mathfrak{gl}_N$-link homologies. As a consequence we obtain an action of $\mathfrak{sl}_2$ on these homologies as well as a $p$-DG structures for $p$ a prime number. We explore topological applications of these structures.

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