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Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
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.Comment: 68 pages, Amstex. Revised version. It appeared in J. of Amer. Math.
Soc. Jan 9
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