%0 Journal Article
%T A Product Formula for Gromov-Witten Invariants
%A Cl¨Śment Hyvrier
%J Mathematics
%D 2009
%I arXiv
%X We establish a product formula for Gromov-Witten invariants for closed, connected, relatively semi-positive Hamiltonian fibrations over any symplectic base. Furthermore, we show that the fibration projection induces a locally trivial (orbi-)fibration map from the moduli space of pseudo-holomorphic maps with marked points in the total space of the Hamiltonian fibration to the corresponding moduli space of pseudo-holomorphic maps with marked points in the base. We use this induced map to recover the product formula by means of integration. Finally, we give applications to c-splitting and symplectic uniruledness.
%U http://arxiv.org/abs/0904.1492v2