Instanton Floer homology and Khovanov homology
Time: 2019-01-11
Published By: Ying Hao
Speaker(s): Yi Xie (Simons Center for Geometry and Physics)
Time: 14:30-15:30 January 15, 2019
Venue: Room 77201, Jingchunyuan 78, BICMR
Abstract: Khovanov homology is a categorification of the Jones polynomial and is defined in a purely combinatorial way. The instanton Floer homology for knots, links and three-manifolds is defined more geometrically. In this talk I will show how the instanton Floer homology are related to various versions of Khovanov homologies by spectral sequences. Using these spectral sequences, I will also derive geometrical properties of Khovanov homologies.
