Fundamental Factorization Of A Glsm Part I Construction


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Fundamental Factorization of a GLSM.


Fundamental Factorization of a GLSM.

Author: Ionut Ciocan-Fontanine

language: en

Publisher:

Release Date: 2023


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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


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


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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