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String cohomology of Calabi-Yau hypersurfaces via Mirror Symmetry

Lev A. Borisov·Anvar R. Mavlyutov
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Abstract

We propose a construction of string cohomology spaces for Calabi-Yau hypersurfaces that arise in Batyrev's mirror symmetry construction. The spaces are defined explicitly in terms of the corresponding reflexive polyhedra in a mirror-symmetric manner. We draw connections with other approaches to the string cohomology, in particular with the work of Chen and Ruan.

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Lev A. Borisov, Anvar R. Mavlyutov. 2001-09-15. String cohomology of Calabi-Yau hypersurfaces via Mirror Symmetry. https://arxiv.org/abs/math/0109096

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