3D TQFT and HOMFLYPT homology
Geometric Topology
2023-02-28 v3 Mathematical Physics
math.MP
Abstract
We describe a family of 3d topological B-models whose target spaces are Hilbert schemes of points in . The interfaces separating theories with different numbers of points correspond to braid strands. The Hilbert space of the picture of a closed braid is the HOMFLY-PT homology of the corresponding link.
Cite
@article{arxiv.1812.06340,
title = {3D TQFT and HOMFLYPT homology},
author = {Alexei Oblomkov and Lev Rozansky},
journal= {arXiv preprint arXiv:1812.06340},
year = {2023}
}
Comments
57 pages, many figures, section 2, that discusses physics theories, is expanded