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Department of Mathematical Sciences

Research Seminar Series

Geometry and Topology Seminar: Deformations of link homologies.

Presented by Paul Wedrich., Cambridge.

29 January 2015 13:00 in CM221

I will start by explaining how deformations help to answer two important questions about the family of (colored) sl(N) link homology theories: What relations exist between them? What geometric information about links do they contain? I will recall Bar-Natan and Morrison's version of Lee's deformation of Khovanov homology and sketch how it generalizes to the case of colored sl(N) link homology. Finally, I will state a decomposition theorem for deformed colored sl(N) link homologies which leads to new spectral sequences between various type A link homologies and concordance invariants in the spirit of Rasmussen's s-invariant. Joint work with David Rose.

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