$\mathbb{R}^n$ 中子流形的扭曲几何
数学物理
2023-04-13 v1 math.MP
摘要
本文以通俗方式介绍我们近期用于构造 中嵌入子流形 （由一组光滑方程 确定）的非交换形变的一般流程。我们采用 [Aschieri et al., Class. Quantum Gravity 23 (2006), 1883] 开创的 Drinfel'd 扭曲微分几何框架；交换的点乘被由 Drinfel'd 扭曲诱导的（一般为非交换的）-乘积所取代。
引用
@article{arxiv.2205.00216,
title = {Twisted geometry for submanifolds of $\mathbb{R}^n$},
author = {Gaetano Fiore and Thomas Weber},
journal= {arXiv preprint arXiv:2205.00216},
year = {2023}
}
备注
20 pages. Submitted to PoS, as a contribution to the Proceedings of Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity", more precisely to the "Workshop on Quantum Geometry, Field Theory and Gravity", 20-27 September 2021