Fundamental Factorization Of A Glsm Part I Construction

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Fundamental Factorization of a GLSM.

We define enumerative invariants associated to a hybrid Gauged Linear Sigma Model. We prove that in the relevant special cases these invariants recover both the Gromov-Witten type invariants defined by Chang-Li and Fan-Jarvis-Ruan using cosection localization as well as the FJRW type invariants constructed by Polishchuk-Vaintrob. The invariants are defined by constructing a "fundamental factorization" supported on the moduli space of Landau-Ginzburg maps to a convex hybrid model. This gives the kernel of a Fourier-Mukai transform; the associated map on Hochschild homology defines our theory.
Fundamental Factorization of a GLSM Part I: Construction

Author: Ionut Ciocan-Fontanine
language: en
Publisher: American Mathematical Society
Release Date: 2023-09-27
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SYZ Geometry for Calabi-Yau 3-folds: Taub-NUT and Ooguri-Vafa Type Metrics

Author: Yang Li
language: en
Publisher: American Mathematical Society
Release Date: 2024-01-26
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