Khovanov-Rozansky $\mathfrak{sl}_N$-homology for periodic links

Maciej Borodzik; Wojciech Politarczyk; Ramazan Yozgyur

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arXiv · 2209.11948

Khovanov-Rozansky $\mathfrak{sl}_N$-homology for periodic links

Maciej Borodzik·Wojciech Politarczyk·Ramazan Yozgyur

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Abstract

For an $m$-periodic link $L$, we show that the Khovanov-Rozansky $\mathfrak{sl}_N$-homology carries an action of the group $\mathbb{Z}_m$. As an example of applications, we prove an analog of the periodicity criterion of Borodzik--Politarczyk using $\mathfrak{sl}_N$-homology instead of Khovanov homology.

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Maciej Borodzik, Wojciech Politarczyk, Ramazan Yozgyur. 2022-09-24. Khovanov-Rozansky $\mathfrak{sl}_N$-homology for periodic links. https://arxiv.org/abs/2209.11948

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