A Geometric Approach to Khovanov Homology
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：Zhechi Cheng (Wuhan University)
： 2024-11-18 09:40
：Conference Room S106 at Experiment Building at Haiyun Campus
Speaker：Zhechi Cheng (Wuhan University)
Time：2024-11-18, 9:40
Location：Conference Room S106 at Experiment Building at Haiyun Campus
Abstract:
Khovanov homology is originally introduced by Khovanov via representation theory in 2000, as a categorification of the Jones polynomial. Khovanov homology is a powerful tool in knot theory, say, it can be used to detect unknot by the work of Kronheimer and Mrowka, while it remains open if the Jones polynomial does the same. Many geometric approaches of Khovanov homology have been built since 2000. In this talk, we will focus on one of those approaches constructed by Seidel and Smith, called symplectic Khovanov homology, which is conjecturally isomorphic to Khovanov homology. We will discuss some of the recent progress on symplectic Khovanov homology.
