Gauge theory and Rasmussen's invariant
Geometric Topology
2019-07-23 v3
Abstract
A previous paper of the authors' contained an error in the proof of a key claim, that Rasmussen's knot-invariant s(K) is equal to its gauge-theory counterpart. The original paper is included here together with a corrigendum, indicating which parts still stand and which do not. In particular, the gauge-theory counterpart of s(K) is not additive for connected sums.
Cite
@article{arxiv.1110.1297,
title = {Gauge theory and Rasmussen's invariant},
author = {P. B. Kronheimer and T. S. Mrowka},
journal= {arXiv preprint arXiv:1110.1297},
year = {2019}
}
Comments
This version bundles the original submission with a 1-page corrigendum, indicating the error. The new version of the corrigendum points out that the invariant is not additive for connected sums. 23 pages, 3 figures