String cohomology of Calabi-Yau hypersurfaces via Mirror Symmetry

Details String cohomology of Calabi-Yau hypersurfaces via Mirror Symmetry String cohomology of Calabi-Yau hypersurfaces via Mirror Symmetry

2001-09-15

arxiv.org/abs/math/0109096v1

Mathematics

Algebraic Geometry

Scientific paper

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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