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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.
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https://hal.archives-ouvertes.fr/hal-01653150
Contributor : Etienne Mann <>
Submitted on : Friday, December 1, 2017 - 10:02:44 AM
Last modification on : Monday, March 9, 2020 - 6:15:57 PM

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  • HAL Id : hal-01653150, version 1
  • ARXIV : 1605.08937

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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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