Concordance homomorphisms from knot Floer homology
By Peter S. Ozsv'ath, A. Stipsicz, Zolt'an Szab'o. 2014
180 citations recorded by the source corpus.
Abstract We modify the construction of knot Floer homology to produce a one-parameter family of homologies tHFK for knots in S 3 . These invariants can be used to give homomorphisms from the smooth concordance group C to Z , giving bounds on the four-ball genus and the concordance genus of knots. We give some applications of these homomorphisms.
Subfields: Geometry and Topology, Mathematical Physics, Neurology
View Paper: https://www.semanticscholar.org/paper/38edb925b3b936c73f99d772a631c5a2f818494e
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In Geometry and Topology
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Citations in the corpus
- Link cobordisms and absolute gradings in link Floer homology (2017, methodology): “d correspondingly for small tour bound reads K 2 (t) K 1 (t) + t [] + [] [] 2 g() ! ; re ecting the Ozsvath{Szabo bound on ˝in Equation (1). Interestingly, using the computation of T n;n+1 (t) in [OSS14] for the (n;n+ 1){torus knot, we note that in fact M t(n) = T n;n+1 (t): In more generality, the”