A COMPACTNESS THEOREM FOR STABLE FLAT SL(2, C) CONNECTIONS ON 3-FOLDS

作     者：黄腾 Teng HUANG

作者机构：School of Mathematical SciencesUniversity of Science and Technology of China CAS Key Laboratory of Wu Wen-Tsun MathematicsUniversity of Science and Technology of ChinaHefei 230026China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2022年第42卷第3期

页      面：1160-1172页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

基　　金：supported in part by NSF of China(11801539) the Fundamental Research Funds of the Central Universities(WK3470000019) the USTC Research Funds of the Double First-Class Initiative(YD3470002002)。 

主　　题：Stable flat SL(2,C)connections Vafa-Witten equations compactness theorem 

摘      要：Let Y be a closed 3-manifold such that all flat SU(2)-connections on Y are non-degenerate.In this article,we prove a Uhlenbeck-type compactness theorem on Y for stable flat SL(2,C)connections satisfying an L^(2)-bound for the real curvature.Combining the compactness theorem and a result from[7],we prove that the moduli space of the stable flat SL(2,C)connections is disconnected under certain technical assumptions.