HOMFLYPT homology for links in handlebodies via type A Soergel bimodules
Quantum Algebra
2023-09-20 v1 Geometric Topology
Abstract
We define a triply-graded invariant of links in a genus g handlebody, generalizing the colored HOMFLYPT (co)homology of links in the 3-ball. Our main tools are the description of these links in terms of a subgroup of the classical braid group, and a family of categorical actions built from complexes of (singular) Soergel bimodules.
Keywords
Cite
@article{arxiv.1908.06878,
title = {HOMFLYPT homology for links in handlebodies via type A Soergel bimodules},
author = {David E. V. Rose and Daniel Tubbenhauer},
journal= {arXiv preprint arXiv:1908.06878},
year = {2023}
}
Comments
25 pages, lots of figures, comments welcome