Topology Seminar

Feb 21

Adam Saltz (University of Georgia)

Link homology, bridge trisections, and invariants of knotted surfaces
Fine Hall 314 / -

I will describe an invariant of knotted surfaces in S^4 obtained by applying link homology to Meier and Zupan's bridge trisections. This invariant takes values in Z/2Z… See Full Abstract

Feb 26

Sergio Fenley, Florida State University

Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3
Fine Hall 601 / -

These diffeomorphisms exhibit weaker forms of hyperbolicity, which are still extremely common, while at the same time very robusts. We study these in dimension 3 and… See Full Abstract

Feb 28

Katherine Raoux, Michigan State University/Bryn Mawr

τ-invariants for knots in rational homology spheres
Fine Hall 314 / -

Using the knot filtration on the Heegaard Floer chain complex, Ozsváth and Szabó defined an invariant of knots in the three sphere called τ(K) and showed that it is a… See Full Abstract

Mar 07

Adam Levine, Duke University

Simply-connected, spineless 4-manifolds
Fine Hall 314 / -

A spine of a manifold M is a piecewise-linear, lower-dimensional submanifold (not necessarily locally flat) whose embedding is a homotopy equivalence. The question of… See Full Abstract