February 23, 2017
12:40 pm
-
1:50 pm
Cockins Hall 240
Title: Stable existence of incompressible 3-manifolds in 4-manifolds
Speaker: Qayum Khan (St. Louis University)
Abstract: Given an injective amalgam at the level of fundamental groups and a specific 3-manifold, is there a corresponding geometric-topological decomposition of a given 4-manifold, in a stable sense? We find an algebraic-topological splitting criterion in terms of the orientation classes and universal covers. Also, we equivariantly generalize the Lickorish–Wallace theorem to regular covers. This is joint work-in-progress with my PhD student, Gerrit Smith.
Seminar URL: https://research.math.osu.edu/topology/
