|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
More concordance
homomorphisms from knot Floer homology
Irving Dai, Jennifer Hom, Matthew Stoffregen and Linh Truong |
|
Geometry & Topology 25 (2021) 275–338
|
Abstract |
|
We define an infinite family of linearly independent, integer-valued smooth concordance homomorphisms. Our homomorphisms are explicitly computable and rely on local equivalence classes of knot Floer complexes over the ring . We compare our invariants to other concordance homomorphisms coming from knot Floer homology, and discuss applications to topologically slice knots, concordance genus and concordance unknotting number. |
Keywords
concordance, knots, knot Floer homology
|
Mathematical Subject Classification 2010
Primary: 57M25, 57N70, 57R58
|
References |
Publication
Received: 15 March 2019
Revised: 13 December 2019
Accepted: 12 January 2020
Published: 2 March 2021
Proposed: András I Stipsicz
Seconded: Ciprian Manolescu, Peter Ozsváth
|
Authors |
| Irving Dai | |
| Department of Mathematics Princeton University Princeton, NJ United States |
Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
| Jennifer Hom | |
| School of Mathematics Georgia Institute of Technology Atlanta, GA United States |
|
| Matthew Stoffregen | |
| Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
|
| Linh Truong | |
| Department of Mathematics Columbia University New York, NY United States |
School of Mathematics Institute for Advanced Study Princeton, NJ United States |
