Gromov-Witten invariants of Fano hypersurfaces, revisited

Details Gromov-Witten invariants of Fano hypersurfaces, revisited Gromov-Witten invariants of Fano hypersurfaces, revisited

2006-02-15

arxiv.org/abs/math/0602324v1

Mathematics

Differential Geometry

23 pages

Scientific paper

The goal of this paper is to give an efficient computation of the 3-point
Gromov-Witten invariants of Fano hypersurfaces, starting from the Picard-Fuchs
equation. This simplifies and to some extent explains the original computations
of Jinzenji. The method involves solving a gauge-theoretic differential
equation, and our main result is that this equation has a unique solution.

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