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2008 Knot concordance and Heegaard Floer homology invariants in branched covers
J Elisenda Grigsby, Daniel Ruberman, Sašo Strle
Geom. Topol. 12(4): 2249-2275 (2008). DOI: 10.2140/gt.2008.12.2249

Abstract

By studying the Heegaard Floer homology of the preimage of a knot KS3 inside its double branched cover, we develop simple obstructions to K having finite order in the classical smooth concordance group. As an application, we prove that all 2–bridge knots of crossing number at most 12 for which the smooth concordance order was previously unknown have infinite smooth concordance order.

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J Elisenda Grigsby. Daniel Ruberman. Sašo Strle. "Knot concordance and Heegaard Floer homology invariants in branched covers." Geom. Topol. 12 (4) 2249 - 2275, 2008. https://doi.org/10.2140/gt.2008.12.2249

Information

Received: 1 February 2007; Revised: 24 June 2008; Accepted: 13 June 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1149.57007
MathSciNet: MR2443966
Digital Object Identifier: 10.2140/gt.2008.12.2249

Subjects:
Primary: 57M25, 57R58
Secondary: 57M12, 57M27

Rights: Copyright © 2008 Mathematical Sciences Publishers

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Vol.12 • No. 4 • 2008
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