论文标题

具有圆柱末端的4个manifolds上的MASD连接存在

Existence of mASD connections on 4-manifolds with cylindrical ends

论文作者

Duncan, David L., Hambleton, Ian

论文摘要

Taubes的胶合定理在封闭的,面向的4个manifolds上建立了ASD连接的存在。我们将这些粘合的结果扩展到Morgan-Mrowka-Ruberman的MASD连接,并在带有圆柱末端的定向的4个manifolds上。作为推论,我们在存在渐近平坦的连接中获得了ASD存在的结果。

Taubes' gluing theorems establish the existence of ASD connections on closed, oriented 4-manifolds. We extend these gluing results to the mASD connections of Morgan-Mrowka-Ruberman on oriented 4-manifolds with cylindrical ends. As a corollary, we obtain an ASD-existence result in the presence of degenerate asymptotic flat connections.

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