Gromov-Witten classes, quantum cohomology, and enumerative geometry

Details Gromov-Witten classes, quantum cohomology, and enumerative geometry Gromov-Witten classes, quantum cohomology, and enumerative geometry

1994-02-26

arxiv.org/abs/hep-th/9402147v2

Commun.Math.Phys. 164 (1994) 525-562

Physics

High Energy Physics

High Energy Physics - Theory

44 p, amstex

Scientific paper

10.1007/BF02101490

The paper is devoted to the mathematical aspects of topological quantum field theory and its applications to enumerative problems of algebraic geometry. In particular, it contains an axiomatic treatment of Gromov-Witten classes, and a discussion of their properties for Fano varieties. Cohomological Field Theories are defined, and it is proved that tree level theories are determined by their correlation functions. Applications to counting rational curves on del Pezzo surfaces and projective spaces are given.

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