English

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

Algebraic Geometry 2023-02-22 v2

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.

Cite

@article{arxiv.1706.05038,
  title  = {Higher-genus wall-crossing in the gauged linear sigma model},
  author = {Emily Clader and Felix Janda and Yongbin Ruan},
  journal= {arXiv preprint arXiv:1706.05038},
  year   = {2023}
}

Comments

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)

R2 v1 2026-06-22T20:20:14.580Z