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

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).

Titolo: Computing certain Gromov-Witten invariants of the crepant resolution of P(1,3,4,4)
Autori: 
PERRONI, FABIO
mostra contributor esterni 
Data di pubblicazione: 2011
Rivista: 
NAGOYA MATHEMATICAL JOURNAL  
Abstract: 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).
Handle: http://hdl.handle.net/11368/2840443
Digital Object Identifier (DOI): http://dx.doi.org/10.1215/00277630-2010-015
URL: http://projecteuclid.org/euclid.nmj/1297433732#info
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