Complements of tori in closed smooth simply connected 4-manifolds that admit a hyperbolic structure

Thursday 28 May 2015 from 12:00–13:00 in Carslaw 535A

Please join us for lunch after the talk!

Abstract: In the last few decades the study of three dimensional hyperbolic link complements has played a prominent role in our understanding of the topology of 3-manifolds. However not much is known about hyperbolic link complements in dimension four. In this talk I will go through some basic constructions which lead to examples of hyperbolic link complements in certain closed simply connected 4-manifolds. I will then show how the ability to admit a complement that is hyperbolic places restrictions on the topology of a 4-manifold.