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Deformations of link homologies

Paul Wedrich
(University of Cambridge)
Onsdag, 14 januar, 2015, at 16:15-17:15, in Aud. D3 (1531-215)
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.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen