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

Maciej Borodzik, Wojciech Politarczyk, Ramazan Yozgyur

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 a…