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Caltech-Tsinghua Joint Colloquium

Tuesday, March 5, 2024
5:00pm to 6:00pm
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Online and In-Person Event
Khovanov homology for null homologous links in RP^3
Daren Chen/陈大任, Department of Mathematics, Caltech,

387 Linde Hall

Khovanov homology is a powerful invariant for studying links in S^3. Khovanov's originally definition is motivated by representation theory, and since then, there have been many interpretations of it from different perspectives. In this talk, we will review the interpretation given by Ozsvath and Szabo, relating it to the Heegaard Floer homology of the branched double cover of S^3 over the link, and explore how this allows an extension of the definition to null homologous links in the real projective space RP^3.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected] or visit