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Friday, November 09, 2018
3:00 PM - 5:00 PM
Linde Hall 187

Geometry and Topology Seminar

Results on Spectral Sequences for Singular Instanton Floer Homology
Sherry Gong, Department of Mathematics, UCLA,
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,\textit{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.
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