arXiv Analytics

Sign in

arXiv:1501.04866 [math.GT]AbstractReferencesReviewsResources

The Alexander module, Seifert forms, and categorification

Jennifer Hom, Tye Lidman, Liam Watson

Published 2015-01-20Version 1

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.

Comments: 80 pages, 21 figures, uses color
Categories: math.GT
Related articles: Most relevant | Search more
arXiv:1912.01657 [math.GT] (Published 2019-12-03)
Algebras with matchings and knot Floer homology
arXiv:2101.05789 [math.GT] (Published 2021-01-14)
Evaluations of link polynomials and recent constructions in Heegaard Floer theory
arXiv:1610.07494 [math.GT] (Published 2016-10-24)
On a Heegaard Floer theory for tangles

Links

Toolbox