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Khovanov skein homology for links in the thickened torus

  • Speaker:Yi Xie
  • TIME:March 18, 2022, 17:00-18:00 Beijing time (12:00-13:00 Moscow time)
  • LOCATION:online (Beijing-Moscow Mathematics Colloquium)

Recording: https://disk.pku.edu.cn:443/link/16EF94A12F9984919BAED5B0FEF3F4C7
Valid Until2026-04-30 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.

 

 

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