Skein lasagna modules and handle decompositions

Autor:	Manolescu, Ciprian, Walker, Kevin, Wedrich, Paul
Rok vydání:	2022
Předmět:	Mathematics - Geometric Topology Mathematics - Quantum Algebra 57K18 57R56 57K16 57K41
Druh dokumentu:	Working Paper
Popis:	The skein lasagna module is an extension of Khovanov-Rozansky homology to the setting of a four-manifold and a link in its boundary. This invariant plays the role of the Hilbert space of an associated fully extended (4+epsilon)-dimensional TQFT. We give a general procedure for expressing the skein lasagna module in terms of a handle decomposition for the four-manifold. We use this to calculate a few examples, and show that the skein lasagna module can sometimes be locally infinite dimensional. Comment: 28 pages, comments welcome, to appear in Adv. Math
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.04616 Zobrazit plný text záznamu View this record from Arxiv