Quantum Cohomology at Higher Genus: Topological Recursion Relations and Virasoro Conditions

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We construct topological recursion relations (TRR's) at higher genera $g\ge2$ for general 2-dimensional topological field theories coupled to gravity. These TRR's when combined with Virasoro conditions enable one to determine the number of higher genus holomorphic curves in any Fano varieties. In the case of $CP^2$ we reproduce the known results at genus $g=2$.
Latex, 8 pages, the instanton numbers of $CP^2$ at genus 3 added, the version to appear in Adv.Theor.Math.Phys

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High Energy Physics - Theory, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/198834

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9801010
 http://arxiv.org/abs/hep-th/9801010
 Adv.Theor.Math.Phys.2:219-229,1998

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arXiv