Concordance homomorphisms from knot Floer homology

Published 7 Jul 2014 in math.GT | (1407.1795v3)

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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