Semisimple Frobenius structures at higher genus

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dc.creatorGivental, Alexander
dc.date2000-08-09
dc.date2001-08-15
dc.date.accessioned2026-07-07T04:36:42Z
dc.date.available2026-07-07T04:36:42Z
dc.descriptionWe 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.
dc.descriptionExposition is improved according to reader's suggestions. To appear in IMRN
dc.identifierhttps://arxiv.org/abs/math/0008067
dc.identifierhttp://arxiv.org/abs/math/0008067
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59696
dc.subjectAlgebraic Geometry
dc.subject14N10, 14H10, 58F05
dc.titleSemisimple Frobenius structures at higher genus
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