Instantons and some concordance invariants of knots
Geometric Topology
2021-02-03 v1
Abstract
Concordance invariants of knots are derived from the instanton homology groups with local coefficients, as introduced in earlier work of the authors. These concordance invariants include a 1-parameter family of homomorphisms , from the knot concordance group to the reals. Prima facie, these concordance invariants have the potential to provide independent bounds on the genus and number of double points for immersed surfaces with boundary a given knot.
Keywords
Cite
@article{arxiv.1910.11129,
title = {Instantons and some concordance invariants of knots},
author = {Peter B. Kronheimer and Tomasz S. Mrowka},
journal= {arXiv preprint arXiv:1910.11129},
year = {2021}
}
Comments
This paper, together with a companion paper "Instantons and Bar-Natan homology", supersedes the authors' earlier preprint, "Instantons, Bar-Natan homology and some concordance invariants of knots"