Semisimple Frobenius structures at higher genus

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We describe genus g>1 potentials of semisimple Frobenius structures. Our formula can be considered as a definition in the axiomatic context of Frobenius manifolds. In Gromov-Witten theory, it becomes a conjecture expressing higher genus GW-invariants in terms of genus 0 GW-invariants of symplectic manifolds with generically semisimple quantum cup-product. The conjecture is supported by the corresponding theorem about equivariant GW-invariants of tori actions with isolated fixed points. The parallel theory of gravitational descendents is also presented.
Exposition is improved according to reader's suggestions. To appear in IMRN

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Algebraic Geometry, 14N10, 14H10, 58F05

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http://salesiana.dossiersoluciones.com/handle/123456789/59696

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0008067
 http://arxiv.org/abs/math/0008067

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arXiv