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Caltech/USC/UCLA Joint Topology Seminar

Monday, May 4, 2020
4:00pm to 5:00pm
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Online Event
Invariants of 4-manifolds from Khovanov-Rozansky link homology
Paul Wedrich, Max Planck Institute/University of Bonn/MSRI,

Ribbon categories are 3-dimensional algebraic structures that control quantum link polynomials and that give rise to 3-manifold invariants known as skein modules. I will describe how to use Khovanov-Rozansky link homology, a categorification of the gl(N) quantum link polynomial, to obtain a 4-dimensional algebraic structure that gives rise to vector space-valued invariants of smooth 4-manifolds. The technical heart of this construction is the newly established functoriality of Khovanov-Rozansky homology in the 3-sphere. Based on joint work with Scott Morrison and Kevin Walker.

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