LG/CY correspondence: the state space isomorphism
Algebraic Geometry
2010-02-02 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We prove the classical mirror symmetry conjecture for the mirror pairs constructed by Berglund, H\"ubsch, and Krawitz. Our main tool is a cohomological LG/CY correspondence which provides a degree-preserving isomorphism between the cohomology of finite quotients of Calabi-Yau hypersurfaces inside a weighted projective space and the Fan-Jarvis-Ruan-Witten state space of the associated Landau-Ginzburg singularity theory.
Keywords
Cite
@article{arxiv.0908.0908,
title = {LG/CY correspondence: the state space isomorphism},
author = {Alessandro Chiodo and Yongbin Ruan},
journal= {arXiv preprint arXiv:0908.0908},
year = {2010}
}
Comments
37 pages, 9 figures