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Two knot invariants and a spectral sequence

Event Category:
Geometry and Topology Seminar
Zachary Winkeler
Smith College

Khovanov homology is a powerful knot invariant with origins in representation theory and TQFTs. Knot Floer homology is another interesting invariant that comes from symplectic topology and the study of 3-manifolds. While these two knot homologies have quite different definitions, they also share a suspicious amount of similarities. I will talk about both constructions, the recently-discovered spectral sequence relating them, and our results on the "middle" pages of the sequence. This work is joint with Sam Tripp.

Tuesday, March 21, 2023 - 2:30pm