Computing knot Floer homology in cyclic branched covers

Levine, Adam Simon

doi:10.2140/agt.2008.8.1163

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

Computing knot Floer homology in cyclic branched covers

Adam Simon Levine

Algebraic & Geometric Topology 8 (2008) 1163–1190

DOI: 10.2140/agt.2008.8.1163

Abstract

We use grid diagrams to give a combinatorial algorithm for computing the knot Floer homology of the pullback of a knot $K \subset S^{3}$ in its $m$ –fold cyclic branched cover $Σ_{m} (K)$ , and we give computations when $m = 2$ for over fifty three-bridge knots with up to eleven crossings.

Keywords

Knot Floer homology, Branched cover

Mathematical Subject Classification 2000

Primary: 57R58

Secondary: 57M12, 57M27

References

Publication

Received: 9 December 2007

Revised: 4 March 2008

Accepted: 5 March 2008

Published: 25 July 2008

Authors

Adam Simon Levine
Department of Mathematics Columbia University 2990 Broadway New York NY 10027 USA

Volume 8, issue 2 (2008)