Dubrovnik VI – Geometric Topology

September 30 – October 7, 2007


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ABSTRACTS

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Sašo Strle*
University of Ljubljana, Slovenia

Knot concordance and Heegaard Floer homology

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. The obstructions are sums of certain τ- or d-invariants of the branch set in the branched cover. We will describe the relevant background and discuss some examples.

* This is a joint work with J. Elisenda Grigsby and Daniel Ruberman.

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