On an integral version of the Rasmussen invariant
Geometric Topology
2022-02-02 v1
Abstract
We define a Rasmussen -invariant over the coefficient ring of the integers, and show how it is related to the -invariants defined over a field. A lower bound for the slice genus of a knot arising from it is obtained, and we give examples of knots for which this lower bound is better than all lower bounds coming from the -invariants over fields. We also compare it to the Lipshitz-Sarkar refinement related to the first Steenrod square.
Keywords
Cite
@article{arxiv.2202.00445,
title = {On an integral version of the Rasmussen invariant},
author = {Dirk Schuetz},
journal= {arXiv preprint arXiv:2202.00445},
year = {2022}
}
Comments
20 pages