Gromov-Witten Invariants via Algebraic Geometry

Details Gromov-Witten Invariants via Algebraic Geometry Gromov-Witten Invariants via Algebraic Geometry

1995-10-30

arxiv.org/abs/hep-th/9510218v2

Nucl.Phys.Proc.Suppl. 46 (1996) 108-115

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX (references added to revised version)

Scientific paper

10.1016/0920-5632(96)00012-6

Calculations of the number of curves on a Calabi-Yau manifold via an instanton expansion do not always agree with what one would expect naively. It is explained how to account for continuous families of instantons via deformation theory and excess intersection theory. The essential role played by degenerate instantons is also explained. This paper is a slightly expanded version of the author's talk at the June 1995 Trieste Conference on S-Duality and Mirror Symmetry.

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