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The Chen-Ruan Cohomology Ring of Mirror Quintic
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B. Doug Park
Published/Copyright:
July 27, 2005
Abstract
We compute the Chen-Ruan orbifold cohomology ring of the Batyrev mirror of a smooth quintic hypersurface in ℙ4. 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.
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Published Online: 2005-07-27
Published in Print: 2005-01-01
© Walter de Gruyter
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Articles in the same Issue
- Compact Perturbations of Hankel Operators
- The Chen-Ruan Cohomology Ring of Mirror Quintic
- Divisibility of Class Numbers: Enumerative Approach
- Arithmetic Duality Theorems for 1-Motives
- On the Geometric Determination of the Poles of Hodge and Motivic Zeta Functions
- Strictly Outer Actions of Groups and Quantum Groups
- On the Independence of K-Theory and Stable Rank for Simple C*-Algebras
- The Capacity Associated to Signed Riesz Kernels, and Wolff Potentials
- Krull-Schmidt Reduction for Principal Bundles
