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Fundamental Factorization of a GLSM.

Fundamental Factorization of a GLSM.
Author: Ionut Ciocan-Fontanine
Publisher:
Total Pages: 0
Release: 2023
Genre: Geometry, Algebraic
ISBN: 9781470475901

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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
Publisher: American Mathematical Society
Total Pages: 114
Release: 2023-09-27
Genre: Mathematics
ISBN: 1470465434

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Singularities, Mirror Symmetry, and the Gauged Linear Sigma Model

Singularities, Mirror Symmetry, and the Gauged Linear Sigma Model
Author: Tyler J. Jarvis
Publisher: American Mathematical Society
Total Pages: 203
Release: 2021-02-26
Genre: Mathematics
ISBN: 1470457008

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This volume contains the proceedings of the workshop Crossing the Walls in Enumerative Geometry, held in May 2018 at Snowbird, Utah. It features a collection of both expository and research articles about mirror symmetry, quantized singularity theory (FJRW theory), and the gauged linear sigma model. Most of the expository works are based on introductory lecture series given at the workshop and provide an approachable introduction for graduate students to some fundamental topics in mirror symmetry and singularity theory, including quasimaps, localization, the gauged linear sigma model (GLSM), virtual classes, cosection localization, $p$-fields, and Saito's primitive forms. These articles help readers bridge the gap from the standard graduate curriculum in algebraic geometry to exciting cutting-edge research in the field. The volume also contains several research articles by leading researchers, showcasing new developments in the field.


Eulerian Spaces

Eulerian Spaces
Author: Paul Gartside
Publisher: American Mathematical Society
Total Pages: 98
Release: 2024-01-26
Genre: Mathematics
ISBN: 1470467844

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The Generation Problem in Thompson Group $F$

The Generation Problem in Thompson Group $F$
Author: Gili Golan Polak
Publisher: American Mathematical Society
Total Pages: 106
Release: 2024-01-26
Genre: Mathematics
ISBN: 1470467232

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