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arXiv · alg-geom/9602007

Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties

Jun Li·Gang Tian
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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.

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Jun Li, Gang Tian. 1998-02-14. Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties. https://arxiv.org/abs/alg-geom/9602007

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