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)
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Abstract
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 |
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Status: | Published |
Refereed: | Yes |
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 |
Publisher: | Wiley |
ISSN: | 1753-8416 |
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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