Logarithmic degenerations of Landau-Ginzburg models for toric orbifolds and global tt^* geometry

2016/05/28 by Mann, Etienne, Reichelt, Thomas
#14J33 #14M25 #32G34 #32S40 #34Mxx #53D45 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1605.08937

Abstract

We discuss the behavior of Landau-Ginzburg models for toric orbifolds near the large volume limit. This enables us to express mirror symmetry as an isomorphism of Frobenius manifolds which aquire logarithmic poles along a boundary divisor. If the toric orbifold admits a crepant resolution we construct a global moduli space on the B-side and show that the associated tt^*-geometry exists globally.

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