Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
Abstract
Description
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.
68 pages, Amstex. Revised version. It appeared in J. of Amer. Math. Soc. Jan 98
68 pages, Amstex. Revised version. It appeared in J. of Amer. Math. Soc. Jan 98