Vortrag am

Donnerstag, 29.10.2015

James F. Davis, z. Z. Göttingen

"Bordism of L2-acyclic manifolds


A manifold is L2-acyclic if its L2-Betti numbers vanish. One can ask when an L2-acyclic manifold is a boundary of an L2L-acyclic manifold with the same fundamental group? We develop the geometric topology necessary to answer this question for manifolds of dimension greater than 4 and virtually abelian fundamental group. The theme of the talk will be the role of the signature of a manifold. This is joint work with Sylvain Cappell and Shmuel Weinberger.