Localization of virtual classes
alg-geom
2008-02-03 v2 Algebraic Geometry
Abstract
We prove a localization formula for virtual fundamental classes in the context of torus equivariant perfect obstruction theories. As an application, the higher genus Gromov-Witten invariants of projective space are expressed as graph sums of tautological integrals over moduli spaces of stable pointed curves (generalizing Kontsevich's genus 0 formulas). Also, excess integrals over spaces of higher genus multiple covers are computed.
Cite
@article{arxiv.alg-geom/9708001,
title = {Localization of virtual classes},
author = {T. Graber and R. Pandharipande},
journal= {arXiv preprint arXiv:alg-geom/9708001},
year = {2008}
}
Comments
29 pages, LaTeX2e, General revision including error corrections