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The Chen-Ruan Cohomology Ring of Mirror Quintic | B. Doug Park
; Mainak Poddar
; | Date: |
13 Oct 2002 | Subject: | Algebraic Geometry; Differential Geometry | math.AG math.DG | 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. | Source: | arXiv, math.AG/0210185 | Services: | Forum | Review | PDF | Favorites |
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