Concordance invariants from $U(1) \times U(1)$-equivariant Khovanov homology

Autor:	Akhmechet, Rostislav, Zhang, Melissa
Rok vydání:	2022
Předmět:	Mathematics - Geometric Topology Mathematics - Quantum Algebra 57K18 57K16
Druh dokumentu:	Working Paper
Popis:	We study Khovanov homology over the Frobenius algebra $\mathbb{F}[U,V,X]/((X-U)(X-V))$, or $U(1) \times U(1)$-equivariant Khovanov homology, and extract two families of concordance invariants using the algebraic $U$-power and $V$-power filtrations on the chain complex. We also further develop the reduced version of the theory and study its behavior under mirroring. Comment: 29 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.10731 Zobrazit plný text záznamu View this record from Arxiv