3-Manifold Seminar: Hyperbolic 4-manifolds with trivial Seiberg-Witten invariants

Seminar | April 2 | 3:40-5 p.m. | 736 Evans Hall

 Ian Agol, UC Berkeley

 Department of Mathematics

We'll describe subgroup separability for arithmetic hyperbolic manifolds of simplest type and apply it to describe embedding results due to Kolpakov-Reid-Slavich. With this we can address a conjecture of Claude LeBrun that the Seiberg-Witten invariants of hyperbolic 4-manifolds vanish, by showing the existence of examples for which it is true. Joint with Francesco Lin.