English

Gromov-Witten invariants for varieties with C* action

Algebraic Geometry 2015-05-07 v1

Abstract

For any smooth projective variety with a C* action, we reduce the problem of computing its Gromov-Witten invariants to the similar problem for its fixed locus. Starting from the stacky version of variation of GIT for our variety, we construct the building blocks for the fixed loci of the moduli space of stable maps. We use this construction to compute their contribution to the virtual fundamental class.

Keywords

Cite

@article{arxiv.1505.01471,
  title  = {Gromov-Witten invariants for varieties with C* action},
  author = {Anca Mustata and Andrei Mustata},
  journal= {arXiv preprint arXiv:1505.01471},
  year   = {2015}
}