Abstract:We prove cohomological mirror duality for varieties of Borcea-Voisin type in any dimension. Our proof applies to all examples which can be constructed through Berglund-H\ubsch duality. Our method is a...We prove cohomological mirror duality for varieties of Borcea-Voisin type in any dimension. Our proof applies to all examples which can be constructed through Berglund-H\ubsch duality. Our method is a variant of the Landau-Ginzburg model and of the Landau-Ginzburg/Calabi-Yau correspondence which allows us to prove the classical cohomological mirror symmetry statement for an orbifold version of the ramification locus of the anti-symplectic involution. These ramification loci mirroring each other are beyond the Calabi-Yau category and feature sextic curves in $P^2$, octic surfaces in $P^3$, degree-$10$ three-folds in $P^4$, etc.Read More
Publication Year: 2015
Publication Date: 2015-09-22
Language: en
Type: preprint
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Cited By Count: 1
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