Bin Sun

University of Oxford

L2-Betti numbers of fiber bundles

Geometry and Topology Seminar

8th November 2022, 2:00 pm – 3:00 pm
Fry Building, 2.04

We study the L2-Betti numbers of fiber bundles F → E → B of manifolds. Under certain conditions (e.g., when F is simply connected), b*(2)(E) can be computed using the twisted L2-Betti numbers of B. We relate the twisted and untwisted L2-Betti numbers of B when π1(B) is locally indicable. As an application, we compute b*(2)(E) when B is either a surface or a non-positively curved 3-manifold. This is a joint work with Dawid Kielak.

Comments are closed.