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

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.

Dates and versions

hal-01653150 , version 1 (01-12-2017)

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Etienne Mann, Thomas Reichelt. Logarithmic degenerations of Landau-Ginzburg models for toric orbifolds and global tt^* geometry. 2017. ⟨hal-01653150⟩
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