English

Quantum Lefschetz without curves

Algebraic Geometry 2024-12-02 v1

Abstract

Given one quasi-smooth derived space cut out of another by a section of a 2-term complex of bundles, we give two formulae for its virtual cycle. They are modelled on the the pp-fields construction of Chang-Li and the Quantum Lefschetz principle, and recover these when applied to moduli spaces of (stable or quasi-) maps. When the complex is a single bundle we recover results of Kim-Kresch-Pantev.

Keywords

Cite

@article{arxiv.2403.01011,
  title  = {Quantum Lefschetz without curves},
  author = {Jeongseok Oh and Richard P. Thomas},
  journal= {arXiv preprint arXiv:2403.01011},
  year   = {2024}
}

Comments

16 pages

R2 v1 2026-06-28T15:06:47.517Z