| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5778624 | Advances in Mathematics | 2017 | 61 Pages |
Abstract
We modify the construction of knot Floer homology to produce a one-parameter family of homologies tHFK for knots in S3. 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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Peter S. Ozsváth, András I. Stipsicz, Zoltán Szabó,