Non-Trivial Steenrod Squares on Prime, Hyperbolic and Satellite Knots

Holt Bodish

doi:10.2140/agt.2022.22.1273

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arXiv · 2006.10881

Non-Trivial Steenrod Squares on Prime, Hyperbolic and Satellite Knots

Holt Bodish

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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.

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BibTeX RIS

Holt Bodish. 2020-06-18. Non-Trivial Steenrod Squares on Prime, Hyperbolic and Satellite Knots. https://doi.org/10.2140/agt.2022.22.1273

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