无曲线量子拉夫谢茨

IF 0.9 2区数学 Q2 MATHEMATICS

International Mathematics Research Notices Pub Date : 2024-07-16 DOI:10.1093/imrn/rnae158

Jeongseok Oh, Richard P Thomas

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引用次数: 0

摘要

给定一个准光滑派生空间，从另一个由2项复束的一段切出，我们给出了其虚拟循环的两个公式。它们以张力的 $p$ 场构造和量子列夫谢茨原理为模型，并在应用于（稳定或准）映射的模空间时恢复了这些公式。当复数是单束时，我们恢复了金-克雷施-潘特夫的结果。

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Quantum Lefschetz Without Curves

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 the results of Kim–Kresch–Pantev.

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来源期刊

International Mathematics Research Notices 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

316

审稿时长

1 months

期刊介绍： International Mathematics Research Notices provides very fast publication of research articles of high current interest in all areas of mathematics. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics.