Symmetries of equivariant Khovanov-Rozansky homology

Fuente: arXiv
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Hauptverfasser: Qi, You, Robert, Louis-Hadrien, Sussan, Joshua, Wagner, Emmanuel
Format: Preprint
Veröffentlicht: 2023
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_version_ 1866918138409385984
author Qi, You
Robert, Louis-Hadrien
Sussan, Joshua
Wagner, Emmanuel
author_facet Qi, You
Robert, Louis-Hadrien
Sussan, Joshua
Wagner, Emmanuel
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2306_10729
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Symmetries of equivariant Khovanov-Rozansky homology
Qi, You
Robert, Louis-Hadrien
Sussan, Joshua
Wagner, Emmanuel
Geometric Topology
Quantum Algebra
Representation Theory
57K18, 57K16, 17B10, 18N25, 18G35
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.
title Symmetries of equivariant Khovanov-Rozansky homology
topic Geometric Topology
Quantum Algebra
Representation Theory
57K18, 57K16, 17B10, 18N25, 18G35
url https://arxiv.org/abs/2306.10729