Khovanov-Rozansky \mathfraksl_N-homology for periodic links

2022/09/24 by Borodzik, Maciej, Politarczyk, Wojciech, Yozgyur, Ramazan
#57K18 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2209.11948

Abstract

For an m-periodic link L, we show that the Khovanov-Rozansky \mathfraksl_N-homology carries an action of the group ℤ_m. As an example of applications, we prove an analog of the periodicity criterion of Borodzik--Politarczyk using \mathfraksl_N-homology instead of Khovanov homology.

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