论文标题

质子,双曲线和卫星结上的非平凡的steenrod正方形

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

论文作者

Bodish, Holt

论文摘要

我们表明有一些质子结,因此Lipshitz和Sarkar Arxiv的Steenrod操作:1204.5776在其Khovanov同源性上并不容易。这回答了Lipshitz和Sarkar在论文Arxiv中提出的一个问题:1709.03602。然后,我们继续证明有双曲线和卫星结,因此Steenrod操作在其Khovanov同源性上并非微不足道。

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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