SL(2;C) 推广的四维反自对偶方程的紧性定理
微分几何
2020-09-01 v5 几何拓扑
摘要
Uhlenbeck 紧性定理可用于分析定向四维流形上主 SU(2) 丛上具有反自对偶曲率的联络序列。本文中的定理将 Uhlenbeck 定理推广至某些反自对偶方程的 SL(2,C) 类比方程的解序列。
引用
@article{arxiv.1307.6447,
title = {Compactness theorems for SL(2;C) generalizations of the 4-dimensional anti-self dual equations},
author = {Clifford Henry Taubes},
journal= {arXiv preprint arXiv:1307.6447},
year = {2020}
}
备注
The statements of the theorems in the second version about the detailed structure of the singular set are modified to account for an error found by Thomas Walpuski. Typos corrected in this newer version