Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties

Details Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties

1996-02-09

arxiv.org/abs/alg-geom/9602007v6

Mathematics

Algebraic Geometry

68 pages, Amstex. Revised version. It appeared in J. of Amer. Math. Soc. Jan 98

Scientific paper

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.

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