The Alexander module, Seifert forms, and categorification

Hom, J., Lidman, T. and Watson, L. (2017) The Alexander module, Seifert forms, and categorification. Journal of Topology, 10(1), pp. 22-100. (doi: 10.1112/topo.12001)

120449.pdf - Accepted Version



We show that bordered Floer homology provides a categorification of a topological quantum field theory (TQFT) described by Donaldson (Proceedings of the Kirbyfest, Berkeley, CA, 1998, Geometry & Topology Monographs 2 [Geometry & Topology Publications, Coventry, 1999) 87–102]. 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.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Watson, Professor Liam
Authors: Hom, J., Lidman, T., and Watson, L.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Topology
ISSN (Online):1753-8424
Published Online:14 February 2017
Copyright Holders:Copyright © 2017 London Mathematical Society
First Published:First published in Journal of Topology 10(1): 22-100
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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