Geometry and Topology Seminar - The Yamabe Invariant of Complex Surfaces
Title: The Yamabe Invariant of Complex Surfaces
Abstract: The Yamabe invariant is a real-valued diffeomorphism invariant coming from Riemannian geometry. Using Seiberg-Witten theory, LeBrun showed that the sign of the Yamabe invariant of a Kähler surface is determined by its Kodaira dimension. We consider the extent to which this remains true when the Kähler hypothesis is removed. This is joint work with Claude LeBrun.
Location: HH 312