Gromov-Witten invariants for varieties with C* action
Graber and Pandharipande introduced the notion of an equivariant virtual fundamental class with the purpose of computing Gromov-Witten invariants via localization. For a projective target variety X with C* action, I will describe each component of the fixed locus of the moduli space of the stable maps and its contribution to the equivariant virtual fundamental class. In the case when the points of X fixed by the C* action are isolated, this leads to concrete computations of the Gromov-Witten invariants. This is joint work with Anca Mustata.