Non-Trivial Steenrod Squares on Prime, Hyperbolic and Satellite Knots
arXiv:2006.10881 · doi:10.2140/agt.2022.22.1273
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.
arXiv comment9 pages, 10 figures
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