Higher-genus wall-crossing in the gauged linear sigma model

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. We implement this technique explicitly for the hybrid model, which generalizes our previous work to the Landau--Ginzburg phase.

42 pages, 2 figures. v2: Added an appendix (by Yang Zhou) proving the n=0 case of the main theorem; additional substantial changes to Sections 2.5 (broad vanishing) and 4.3 (localization contributions)

References in corpus (1)

• The Genus-One Global Mirror Theorem for the Quintic Threefold

Cited by in corpus (5)

• On genus-0 invariants of Calabi-Yau hybrid models
• Invariants of stable quasimaps with fields
• A genus-one FJRW invariant via two methods
• A mirror theorem for Gromov-Witten theory without convexity
• Higher-genus wall-crossing in Landau-Ginzburg theory