无曲线量子拉夫谢茨

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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