Concordance homomorphisms from knot Floer homology

Peter Ozsvath; Andras Stipsicz; Zoltan Szabo

doi:10.1016/j.aim.2017.05.017

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arXiv · 1407.1795

Concordance homomorphisms from knot Floer homology

Peter Ozsvath·Andras Stipsicz·Zoltan Szabo

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Abstract

We modify the construction of knot Floer homology to produce a one-parameter family of homologies for knots in the three-sphere. These invariants can be used to give homomorphisms from the smooth concordance group to the integers, giving bounds on the four-ball genus and the concordance genus of knots. We give some applications of these homomorphisms.

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BibTeX RIS

Peter Ozsvath, Andras Stipsicz, Zoltan Szabo. 2014-07-07. Concordance homomorphisms from knot Floer homology. https://doi.org/10.1016/j.aim.2017.05.017

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