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Nagoya Mathematical Journal (1)

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Computing certain Gromov-Witten invariants of the crepant resolution of ℙ(1, 3, 4, 4)
Samuel Boissière, Étienne Mann, Fabio Perroni
Journal:

Nagoya Mathematical Journal / Volume 201 / March 2011

Published online by Cambridge University Press:

11 January 2016, pp. 1-22

Print publication:

March 2011
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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).