February 25, 2008, 2:10pm

Bahen 6183

Abstract:In this talk I will consider closed connected Hamiltonian fibrations over symplectic base and study their genus zero Gromov-Witten (GW) invariants. I will explain how, under certain semi-positivity assumptions, one can recover some GW-invariants of the total space, from GW-invariants of the base and GW-invariants of some hamiltonian fibration over the 2-sphere. Finally, I will show how to apply this "product" formula to cohomological splitting and uniruledness of Hamiltonian fibrations.

I will explain how, under certain semi-positivity assumptions, we can establish a "product formula", allowing us to recover some GW-invariants in the total space, from GW-invariants ...