Recording: https://disk.pku.edu.cn:443/link/16EF94A12F9984919BAED5B0FEF3F4C7
Valid Until:2026-04-30 23:59
Slides: ../../docs/20220322160647353970.pdf
Abstract: Khovanov homology is a powerful combinatorial invariant for links in the 3-sphere. Asaeda, Przytycki and Sikora defined a generalization of Khovanov homology for links in thickened compact surfaces. In this talk, we will review their definition and show that the Asaeda-Przytycki-Sikora homology detects the unlink and torus links in the thickened torus. This is joint work with Boyu Zhang.
Bio: Yi Xie is an assistant professor at Beijing International Center for Mathematical Research, Peking University. His research focuses on mathematical gauge theory and its application in low-dimensional topology.