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David Rose (University of North Carolina )
Monday 26 June 2017, 14:30-15:30
Traces, current algebras, and link homologies
- đ¤ Speaker: David Rose (University of North Carolina )
- đ Date & Time: Monday 26 June 2017, 14:30 - 15:30
- đ Venue: Seminar Room 1, Newton Institute
Abstract
We'll show how categorical traces and foam categories can be used to define an invariant of braid conjugacy, which can be viewed as a “universal” type-A braid invariant. Applying various functors, we recover several known link homology theories, both for links in the solid torus, and, more-surprisingly, for links in the 3-sphere. Variations on this theme produce new annular invariants, and, conjecturally, a homology theory for links in the 3-sphere which categorifies the sl(n) link polynomial but is distinct from the Khovanov-Rozansky theory. Lurking in the background of this story is a family of current algebra representations.
This is joint work with Queffelec and Sartori.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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