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arXiv · alg-geom/9708001

Localization of virtual classes

T. Graber·R. Pandharipande
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Abstract

We prove a localization formula for virtual fundamental classes in the context of torus equivariant perfect obstruction theories. As an application, the higher genus Gromov-Witten invariants of projective space are expressed as graph sums of tautological integrals over moduli spaces of stable pointed curves (generalizing Kontsevich's genus 0 formulas). Also, excess integrals over spaces of higher genus multiple covers are computed.

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T. Graber, R. Pandharipande. 1997-09-04. Localization of virtual classes. https://arxiv.org/abs/alg-geom/9708001

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