偏移余切束、symplectic groupoids与normal cone变形
代数几何
2026-02-17 v2 辛几何
摘要
本文推广了shifted symplectic结构的理论，拓展到相对上下文和非几何堆栈中。我们描述了自然出现的基本构造：偏移余切束与AKSZ程序。沿途中，我们还发展了shifted symplectic groupoids的理论，用于呈现shifted symplectic结构在商上的定义，并为shifted Lagrangian态射定义normal cone变形。
引用
@article{arxiv.2407.08622,
title = {Shifted cotangent bundles, symplectic groupoids and deformation to the normal cone},
author = {Damien Calaque and Pavel Safronov},
journal= {arXiv preprint arXiv:2407.08622},
year = {2026}
}
备注
v2: 53 pages. To appear in American Journal of Mathematics. Several typos have been corrected. We also made slightly more significant changes in Section 4 (we had to change the definition of a shifted symplectic groupoid) -- v1: 50 pages