Non-Trivial Steenrod Squares on Prime, Hyperbolic and Satellite Knots
Geometric Topology
2022-11-01 v3 Algebraic Topology
Abstract
We show that there are prime knots so that the Steenrod operations of Lipshitz and Sarkar arXiv:1204.5776 are non trivial on their Khovanov homology. This answers a question posed by Lipshitz and Sarkar in their paper arXiv:1709.03602. We then go on to show that there are hyperbolic and satellite knots so that the Steenrod operations are non trivial on their Khovanov homology.
Keywords
Cite
@article{arxiv.2006.10881,
title = {Non-Trivial Steenrod Squares on Prime, Hyperbolic and Satellite Knots},
author = {Holt Bodish},
journal= {arXiv preprint arXiv:2006.10881},
year = {2022}
}
Comments
9 pages, 10 figures