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.