Event Type:

Topology Seminar

Date/Time:

Monday, October 10, 2011 - 05:00

Location:

Gilkey 113

Local Speaker:

Abstract:

Abstract: I will discuss a recently submitted paper, in which I prove the following theorem, concerning the space of positive scalar curvature metrics R^{+}(X), on a smooth manifold X.

Theorem: Let X and Y be smooth manifolds, obtainable from each other via surgery in codimension at least three. Then the spaces R^{+}(X) and R^{+}(Y) are homotopy equivalent.

As a corollary I will demonstrate that in the case of spin manifolds of dimension at least five, the homotopy type of R^{+}(X) is a spin-cobordism invariant.