Lectures on knot homology
Satoshi Nawata, Alexei Oblomkov
TL;DR
This paper explores different formulations of knot homology inspired by string dualities, highlighting its rich algebraic structure through geometric representation theory, based on lectures from a specialized workshop.
Contribution
It introduces multiple formulations of knot homology linked to string dualities and elucidates their algebraic structure via geometric representation theory.
Findings
Multiple formulations of knot homology are presented.
The algebraic structure of knot homology is clarified.
Connections to string dualities are established.
Abstract
We provide various formulations of knot homology that are predicted by string dualities. In addition, we also explain the rich algebraic structure of knot homology which can be understood in terms of geometric representation theory in these formulations. These notes are based on lectures in the workshop "Physics and Mathematics of Link Homology" at Centre de Recherches Mathematiques, Universite de Montreal.
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