Instanton Floer homology and Khovanov homology
报告人：Yi Xie (Simons Center for Geometry and Physics)
时间：2019-01-15 14:30 - 2019-01-15 15:30
地点：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.