Concordance homomorphisms from knot Floer homology
Author(s): Ozsvath, Peter Steven; Stipsicz, Andras I.; Szabo, Zoltan
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http://arks.princeton.edu/ark:/88435/pr1098f| 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. (C) 2017 Elsevier Inc. All rights reserved. |
| Publication Date: | 31-Jul-2017 |
| Electronic Publication Date: | 13-Jun-2017 |
| Citation: | Ozsvath, Peter S, Stipsicz, Andras I., Szabo, Zoltan. (2017). Concordance homomorphisms from knot Floer homology. ADVANCES IN MATHEMATICS, 315 (366 - 426). doi:10.1016/j.aim.2017.05.017 |
| DOI: | doi:10.1016/j.aim.2017.05.017 |
| ISSN: | 0001-8708 |
| EISSN: | 1090-2082 |
| Pages: | 366 - 426 |
| Type of Material: | Journal Article |
| Journal/Proceeding Title: | ADVANCES IN MATHEMATICS |
| Version: | Author's manuscript |
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