Citation:
This article will be published in 2011 in the "Nagoya Mathematical Journal" Volume 201, March 2011, Pages 1-22, under the title "Computing certain Gromov-Witten invariants of the crepant resolution of P{double-strock}(1, 3, 4, 4)
Abstract:
We compare the Chen-Ruan cohomology ring of the weighted projective spaces
$\IP(1,3,4,4)$ and $\IP(1,...,1,n)$ with the cohomology ring of their crepant
resolutions. In both cases, we prove that the Chen-Ruan cohomology ring is
isomorphic to the quantum corrected cohomology ring of the crepant resolution
after suitable evaluation of the quantum parameters. For this, we prove a
formula for the Gromov-Witten invariants of the resolution of a transversal
${\rm A}_3$ singularity.
MIUR Sector:
MAT/03 GEOMETRIA
Description:
Exposition improved, new title, typos corrected. The section
concerning the model for the orbifold Chow ring has been removed (appears now
in our new preprint 0709.4559)
