Fundamental Factorization of a GLSM Part I: Construction 1

Vetenskap & teknik

Fundamental Factorization of a GLSM Part I: Construction

Ionut Ciocan-Fontanine • David Favero • Jeremy Guere • Bumsig Kim • Mark Shoemaker

Pocket

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96 sidor
2023

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.

Författare: Ionut Ciocan-Fontanine, David Favero, Jeremy Guere, Bumsig Kim, Mark Shoemaker
Format: Pocket/Paperback
ISBN: 9781470465438
Språk: Engelska
Antal sidor: 96
Utgivningsdatum: 2023-09-30
Förlag: American Mathematical Society