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Bibliographic Details
Main Authors: Oh, Jeongseok, Thomas, Richard P.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.01011
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author Oh, Jeongseok
Thomas, Richard P.
author_facet Oh, Jeongseok
Thomas, Richard P.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_01011
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum Lefschetz without curves
Oh, Jeongseok
Thomas, Richard P.
Algebraic Geometry
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.
title Quantum Lefschetz without curves
topic Algebraic Geometry
url https://arxiv.org/abs/2403.01011