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Computing certain Gromov-Witten invariants of the crepant resolution of ℙ(1, 3, 4, 4)

Published online by Cambridge University Press:  11 January 2016

Samuel Boissière ,
Étienne Mann  and
Fabio Perroni
Samuel Boissière
Affiliation:
Laboratoire J. A. Dieudonné UMR CNRS 6621 Université de Nice Sophia-Antipolis, Parc Valrose 06108 Nice, France, [email protected]
Étienne Mann
Affiliation:
Université de Montpellier 2 CC 5149 Place Eugène, Bataillon 34 095, Montpellier France, [email protected]
Fabio Perroni
Affiliation:
Mathematisches Institut Lehrstuhl Mathematik VIII Universitätstraβe, 30 95447 Bayreuth, Germany, [email protected]
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Abstract

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We prove a formula computing the Gromov-Witten invariants of genus zero with three marked points of the resolution of the transversal A3-singularity of the weighted projective space ℙ(1,3,4,4) using the theory of deformations of surfaces with An-singularities. We use this result to check Ruan’s conjecture for the stack ℙ(1,3,4,4).

Keywords

53D4514J3314M2514E46
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 201 , March 2011 , pp. 1 - 22
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2011

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