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Author: Ionut Ciocan-Fontanine
Publisher:
ISBN: 9781470475901
Category : Geometry, Algebraic
Languages : en
Pages : 0
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Book Description
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.
Author: Ionut Ciocan-Fontanine
Publisher:
ISBN: 9781470475901
Category : Geometry, Algebraic
Languages : en
Pages : 0
Get Book Here
Book Description
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.
Author: Ionut Ciocan-Fontanine
Publisher: American Mathematical Society
ISBN: 1470465434
Category : Mathematics
Languages : en
Pages : 114
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Author: Tyler J. Jarvis
Publisher: American Mathematical Society
ISBN: 1470457008
Category : Mathematics
Languages : en
Pages : 203
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Book Description
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.
Author: Yang Li
Publisher: American Mathematical Society
ISBN: 1470467828
Category : Mathematics
Languages : en
Pages : 138
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Author: Chris Parker
Publisher: American Mathematical Society
ISBN: 1470467291
Category : Mathematics
Languages : en
Pages : 194
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Author: Karl-Theodor Sturm
Publisher: American Mathematical Society
ISBN: 1470466961
Category : Mathematics
Languages : en
Pages : 124
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Author: Paul Gartside
Publisher: American Mathematical Society
ISBN: 1470467844
Category : Mathematics
Languages : en
Pages : 98
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Author: Gili Golan Polak
Publisher: American Mathematical Society
ISBN: 1470467232
Category : Mathematics
Languages : en
Pages : 106
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Author: Christophe Breuil
Publisher: American Mathematical Society
ISBN: 1470465477
Category : Mathematics
Languages : en
Pages : 166
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Author: Quoc-Hung Nguyen
Publisher: American Mathematical Society
ISBN: 1470467224
Category : Mathematics
Languages : en
Pages : 136
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