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Knot concordance and Heegaard Floer homology invariants in branched covers
Journal article   Open access   Peer reviewed

Knot concordance and Heegaard Floer homology invariants in branched covers

J. Elisenda Grigsby, Daniel Ruberman and Saso Strle
Geometry & topology, Vol.12(4), pp.2249-2275
01/16/2007

Abstract

By studying the Heegaard Floer homology of the preimage of a knot K in S^3 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.
url
https://doi.org/10.2140/gt.2008.12.2249View
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