Fundamental Factorization of a GLSM, Part I: Construction
Algebraic Geometry
2021-01-01 v3 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.1802.05247,
title = {Fundamental Factorization of a GLSM, Part I: Construction},
author = {Ionut Ciocan-Fontanine and David Favero and Jérémy Guéré and Bumsig Kim and Mark Shoemaker},
journal= {arXiv preprint arXiv:1802.05247},
year = {2021}
}
Comments
Final version. To appear in Memoirs of the American Mathematical Society