15 March 2021 Higher-genus wall-crossing in the gauged linear sigma model
Emily Clader, Felix Janda, Yongbin Ruan
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Duke Math. J. 170(4): 697-773 (15 March 2021). DOI: 10.1215/00127094-2020-0053

Abstract

We introduce a technique for proving all-genus wall-crossing formulas in the gauged linear sigma model as the stability parameter varies, without assuming factorization properties of the virtual class. Implementing this technique to the gauged linear sigma model associated to a complete intersection in weighted projective space, we obtain a uniform proof of the wall-crossing formula in both the geometric and the Landau–Ginzburg phase.

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Emily Clader. Felix Janda. Yongbin Ruan. "Higher-genus wall-crossing in the gauged linear sigma model." Duke Math. J. 170 (4) 697 - 773, 15 March 2021. https://doi.org/10.1215/00127094-2020-0053

Information

Received: 13 November 2018; Revised: 31 March 2020; Published: 15 March 2021
First available in Project Euclid: 23 December 2020

Digital Object Identifier: 10.1215/00127094-2020-0053

Subjects:
Primary: 14N35
Secondary: 14D23

Keywords: Gromov–Witten theory , Landau–Ginzburg model , moduli spaces of curves

Rights: Copyright © 2021 Duke University Press

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Vol.170 • No. 4 • 15 March 2021
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