Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
alg-geom
2008-02-03 v6 Algebraic Geometry
Abstract
We introduce a method of constructing the virtual cycle of any scheme associated with a tangent-obstruction complex. We apply this method to constructing the virtual moduli cycle of the moduli of stable maps from n-pointed genus g curves to any smooth projective variety. As an application, we give an algebraic definition of GW-invariants for any smooth projective variety.
Keywords
Cite
@article{arxiv.alg-geom/9602007,
title = {Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties},
author = {Jun Li and Gang Tian},
journal= {arXiv preprint arXiv:alg-geom/9602007},
year = {2008}
}
Comments
68 pages, Amstex. Revised version. It appeared in J. of Amer. Math. Soc. Jan 98