$G$-真确流形上Dirac算子的初等与不变量
K理论与同调
2023-09-07 v2 微分几何
算子代数
摘要
在本文中，我们综述了在连通实约化李群的Harish-Chandra Schwartz代数上循环上循环的近期构造，及其对真紧致-作用的高阶指标理论的应用。
引用
@article{arxiv.2204.01498,
title = {Primary and secondary invariants of Dirac operators on $G$-proper manifolds},
author = {Paolo Piazza and Xiang Tang},
journal= {arXiv preprint arXiv:2204.01498},
year = {2023}
}
备注
41 pages. In this new arXiv version we correct a mistake in the printed version by avoiding a wrong decomposition formula for the Dirac operator. A detailed discussion can be found in arXiv:2108.00982(v3)