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Pré-Publication, Document De Travail Année : 2023

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

Résumé

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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Dates et versions

hal-01653150 , version 1 (11-10-2023)

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Etienne Mann, Thomas Reichelt. Logarithmic degenerations of Landau-Ginzburg models for toric orbifolds and global tt^* geometry. 2023. ⟨hal-01653150⟩
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