BorceaVoisin Mirror Symmetry for LandauGinzburg models
Abstract
FJRW theory is a formulation of physical LandauGinzburg models with a rich algebraic structure, rooted in enumerative geometry. As a consequence of a major physical conjecture, called the LandauGinzburg/CalabiYau correspondence, several birational morphisms of CalabiYau orbifolds should correspond to isomorphisms in FJRW theory. In this paper it is shown that not only does this claim prove to be the case, but is a special case of a wider FJRW isomorphism theorem, which in turn allows for a proof of mirror symmetry for a new class of cases in the LandauGinzburg setting. We also obtain several interesting geometric applications regarding the ChenRuan cohomology of certain CalabiYau orbifolds.
 Publication:

arXiv eprints
 Pub Date:
 August 2017
 DOI:
 10.48550/arXiv.1708.05775
 arXiv:
 arXiv:1708.05775
 Bibcode:
 2017arXiv170805775F
 Keywords:

 Mathematics  Algebraic Geometry;
 High Energy Physics  Theory;
 Mathematical Physics;
 14J33;
 14J32;
 53D45
 EPrint:
 28 pages