CUNY Graduate Center Differential Geometry and Analysis Seminar presents

Equivariant Moduli Problems

Kai Cieliebak

I.A.S.

Wednesday, March 13

2:30-3:30 pm, Room 4422

Various invariants in geometry are defined by evaluating cohomology classes on moduli spaces of solutions of some PDE. Donaldson polynomials, Seiberg-Witten invariants, Gromov-Witten invariants and Floer homology all arise in this way. In most examples the definition of the invariants is complicated by the presence of a group action which is not free.

This talk is about the definition of invariants for equivariant moduli problems in the simplest nontrivial case: the moduli spaces are compact and the isotropy groups finite.