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SEMINARS
Results on Spectral Sequences for Singular Instanton Floer Homology
时间  Datetime
2018-08-03 14:00 — 15:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Sherry Gong
单位  Affiliation
MIT
邀请人  Host
Youlin Li
报告摘要  Abstract

We introduce a version of Khovanov homology for alternating links with marking data, $\omega$, inspired by instanton theory. We show that the analogue of the spectral sequence from Khovanov homology to singular instanton homology (Kronheimer and Mrowka, Khovanov homology is an unknot-detector) collapses on the $E_2$ page for alternating links. We moreover show that the Khovanov homology we introduce for alternating links does not depend on $\omega$; thus, the instanton homology also does not depend on $\omega$ for alternating links.