2024 Log degenerations of LG models for toric orbifolds and tt geometry
Etienne Mann, Thomas Reichelt
Author Affiliations +
Kyoto J. Math. Advance Publication 1-69 (2024). DOI: 10.1215/21562261-2024-0015

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 that 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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Etienne Mann. Thomas Reichelt. "Log degenerations of LG models for toric orbifolds and tt geometry." Kyoto J. Math. Advance Publication 1 - 69, 2024. https://doi.org/10.1215/21562261-2024-0015

Information

Received: 30 November 2020; Revised: 22 April 2023; Accepted: 11 May 2023; Published: 2024
First available in Project Euclid: 28 October 2024

Digital Object Identifier: 10.1215/21562261-2024-0015

Subjects:
Primary: 14J33
Secondary: 14M25 , 32G34 , 32S40 , 53D45

Keywords: Frobenius manifold , hypergeometric D-module , mirror symmetry , quantum cohomology , tt∗-geometry

Rights: Copyright © 2024 by Kyoto University

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