The Chen-Ruan Cohomology Ring of Mirror Quintic
Algebraic Geometry
2007-05-23 v1 Differential Geometry
Abstract
We compute the Chen-Ruan orbifold cohomology ring of the Batyrev mirror orbifold of a smooth quintic hypersurface in 4-dimensional projective space. We identify the obstruction bundle for this example by using the Riemann bilinear relations for periods. We outline a general method of computing the Chen-Ruan ring for Calabi-Yau hypersurfaces in projective simplicial toric varieties, modulo a conjecture that the Riemann bilinear relations are adequate for identifying the obstruction bundle for any complex orbifold.
Keywords
Cite
@article{arxiv.math/0210185,
title = {The Chen-Ruan Cohomology Ring of Mirror Quintic},
author = {B. Doug Park and Mainak Poddar},
journal= {arXiv preprint arXiv:math/0210185},
year = {2007}
}
Comments
25 pages, 5 figures