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1. CJM 2007 (vol 59 pp. 981)

Jiang, Yunfeng
The Chen--Ruan Cohomology of Weighted Projective Spaces
In this paper we study the Chen--Ruan cohomology ring of weighted projective spaces. Given a weighted projective space ${\bf P}^{n}_{q_{0}, \dots, q_{n}}$, we determine all of its twisted sectors and the corresponding degree shifting numbers. The main result of this paper is that the obstruction bundle over any 3\nobreakdash-multi\-sector is a direct sum of line bundles which we use to compute the orbifold cup product. Finally we compute the Chen--Ruan cohomology ring of weighted projective space ${\bf P}^{5}_{1,2,2,3,3,3}$.

Keywords:Chen--Ruan cohomology, twisted sectors, toric varieties, weighted projective space, localization
Categories:14N35, 53D45

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