More concordance homomorphisms from knot Floer homology
Geometric Topology
2022-01-14 v2
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
Cite
@article{arxiv.1902.03333,
title = {More concordance homomorphisms from knot Floer homology},
author = {Irving Dai and Jennifer Hom and Matthew Stoffregen and Linh Truong},
journal= {arXiv preprint arXiv:1902.03333},
year = {2022}
}
Comments
50 pages, 6 figures v2: Included a 2 page erratum pointing out an error in a lemma, along with a reference to a revised and correct version of the lemma. The main results of the paper are unaffected