Skein lasagna modules and handle decompositions
Geometric Topology
2023-04-26 v2 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.2206.04616,
title = {Skein lasagna modules and handle decompositions},
author = {Ciprian Manolescu and Kevin Walker and Paul Wedrich},
journal= {arXiv preprint arXiv:2206.04616},
year = {2023}
}
Comments
28 pages, comments welcome, to appear in Adv. Math