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Knot concordance and
Heegaard Floer homology invariants in branched covers
J Elisenda Grigsby, Daniel Ruberman and Sašo Strle |
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Geometry & Topology 12 (2008) 2249–2275
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Abstract |
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By studying the Heegaard Floer homology of the preimage of a knot inside its double branched cover, we develop simple obstructions to having finite order in the classical smooth concordance group. As an application, we prove that all –bridge knots of crossing number at most for which the smooth concordance order was previously unknown have infinite smooth concordance order. |
Keywords
Smooth knot concordance, Heegaard Floer homology, branched
covers, Knot concordance, branched cover, $\tau$–invariant
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Mathematical Subject Classification 2000
Primary: 57R58, 57M25
Secondary: 57M12, 57M27
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References |
Publication
Received: 1 February 2007
Revised: 24 June 2008
Accepted: 13 June 2008
Published: 2 September 2008
Proposed: Tomasz Mrowka
Seconded: Ronald Stern, Peter Ozsváth
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Authors |
| J Elisenda Grigsby | |
| Department of Mathematics Columbia University 2990 Broadway MC4406 New York NY 10027 USA |
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| Daniel Ruberman | |
| Department of Mathematics MS 050 Brandeis University Waltham MA 02454 USA |
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| Sašo Strle | |
| Faculty of Mathematics and
Physics University of Ljubljana Jadranska 21 1000 Ljubljana Slovenia |
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