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.
作者
Teng HUANG
黄腾(School of Mathematical Sciences,University of Science and Technology of China;CAS Key Laboratory of Wu Wen-Tsun Mathematics,University of Science and Technology of China,Hefei 230026,China)
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)。
