BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Link homology and equivariant gauge theory Saveliev, Nikolai

Description

The talk concerns the singular Floer homology of knots and links defined by Kronheimer and Mrowka using gauge theory on orbifolds; it has been instrumental in proving that the Khovanov homology is an unknot detector. We show how replacing gauge theory on an orbifold with equivariant gauge theory on its double branched cover simplifies matters and allows for explicit calculations for several classes of knots and links. This is a joint work with Prayat Poudel.

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Attribution-NonCommercial-NoDerivatives 4.0 International