Speaker
Prof.
Mark Powell
(University of Glasgow)
Description
I will discuss what is known about homotopy and homeomorphism classifications of closed 4-manifolds. Then I will report on joint work with Hillman, Kasprowski, and Ray, in which we classify 4-manifolds whose fundamental group is that of a 3-manifold, up to homotopy equivalence. I will then specialise to the case of the infinite dihedral group, to obtain a homeomorphism classification. In particular I will explain what invariants one needs to compute to deduce that two such 4-manifolds coincide, with explicit examples.
Primary author
Prof.
Mark Powell
(University of Glasgow)
