Gromov-Witten Invariants via Algebraic Geometry
arXiv:hep-th/9510218 · doi:10.1016/0920-5632(96)00012-6
Abstract
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.
15 pages, LaTeX (references added to revised version)
References in corpus (9)
- Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
- Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
- Holomorphic Anomalies in Topological Field Theories
- Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces
- Mirror Symmetry for Two Parameter Models -- II
- Mirror Symmetry for Two Parameter Models -- I
- Topological Field Theory and Rational Curves
- Mirror Symmetry, Mirror Map and Applications to Complete Intersection Calabi-Yau Spaces
- Towards the Mirror Symmetry for Calabi-Yau Complete intersections in Gorenstein Toric Fano Varieties