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Fundamental Factorization of a GLSM Part I

Fundamental Factorization of a GLSM Part I : Construction.

・ISBN 978-1-4704-6543-8 paper US$ 85.00

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著者・編者Ciocan-Fontanine, Ionut / Favero, David / Guere, Jeremy / Kim, Bumsig / Shoemaker, Mark,
シリーズMemoirs of the American Mathematical Society
出版社(American Mathematical Society, US)
出版年月2023
ページ数96 pp.
言語ENG
ニュース番号<M25-15814>

解説

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.