Quantum Lefschetz without curves

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 $p$-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.

arXiv comment16 pages

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Cited by in corpus (1)

• Hyperquot schemes on curves: virtual class and motivic invariants