The Alexander module, Seifert forms, and categorification
Geometric Topology
2017-05-17 v2
Abstract
We show that bordered Floer homology provides a categorification of a TQFT described by Donaldson. This, in turn, leads to a proof that both the Alexander module of a knot and the Seifert form are completely determined by Heegaard Floer theory.
Keywords
Cite
@article{arxiv.1501.04866,
title = {The Alexander module, Seifert forms, and categorification},
author = {Jennifer Hom and Tye Lidman and Liam Watson},
journal= {arXiv preprint arXiv:1501.04866},
year = {2017}
}
Comments
80 pages, 21 figures, uses color Version 2: Minor edits as suggested by the referee. This version accepted for publication by the Journal of Topology