Quantum Lefschetz without curves
arXiv:2403.01011 · doi:10.1093/imrn/rnae158
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 -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.
16 pages