Geometry/Topology/Categorification Seminar: Generalizing Rasmussen's s-invariant, and applications

Monday, August 26 at 2:00pm to 3:15pm

This is a past event.

Kaprielian Hall (KAP), 245
3620 South Vermont Avenue, Los Angeles, CA 90089

Michael Willis, UCLA

ABSTRACT: I will discuss a method to define Khovanov and Lee homology for links L in connected sums of copies of S^1\times S^2.  From here it is not hard to define an s-invariant s(L) that gives genus bounds on oriented cobordisms between links.  I will discuss some applications to surfaces in certain 4-manifolds, including a proof that the s-invariant cannot detect exotic B^4's coming from Gluck twists of the standard B^4.  If time allows, I will also discuss our new combinatorial proof of the slice Bennequin inequality in S^1\times S^2.  All of this is joint work with Ciprian Manolescu, Marco Marengon, and Sucharit Sarkar.

Event Type

Lecture / Talk / Workshop

Campus

University Park Campus

Department
Mathematics
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