Abstract:

The moduli space of stable pseudoholomorphic maps to a symplectic manifold has been an important object in symplectic geometry since its definition. Unfortunately, it is in general not cut out transversely, which makes it difficult to obtain geometrically useful information. I will explain a presentation of this moduli space as the zero locus of an orbisection. This allows for a straightforward definition of symplectic invariants. To show how this construction works in practice, I will sketch the proof of a formula for the Gromov-Witten invariants of a product of symplectic manifold and give some examples.