Knot concordance and Heegaard Floer homology invariants in branched covers
Abstract
By studying the Heegaard Floer homology of the preimage of a knot K in S3 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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