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B. Doug Park, Mainak Poddar

The Chen-Ruan Cohomology Ring of Mirror Quintic

We compute the Chen-Ruan orbifold cohomology ring of the Batyrev mirror of a smooth quintic hypersurface in ?⁴. We identify the obstruction bundle for this example by using the Riemann bilinear relations for periods. We expect that our method can be used to compute the Chen-Ruan ring for Calabi-Yau hypersurfaces in projective simplicial toric varieties when every obstruction bundle is a direct sum of orbifold line bundles.

Journal fur die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter

Print ISSN: 0075-4102
Volume: 2005, 01/2005
Pages: 49 - 77

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