2008-09-19
Tomoo Matsumura, Cornell University
Stringy/Orbifold Cohomology Ring and Symmetric Product Orbifolds.
First, I will explain the definition of stringy cohomology
ring of a global quotient orbifold [X/G], where X is a symplectic or
almost complex manifold with a finite group action. Its relation to
Chen-Ruan orbifold cohomology ring and Gromov-Witten invariants will
be also explained. Then I will show the computational result of the
stringy cohomology of symmetric product of an orbifold and its
application to Ruan's crepant resolution conjecture.