Anti-Self-Dual Instantons with Lagrangian Boundary Conditions II: Bubbling
Anti-Self-Dual Instantons with Lagrangian Boundary Conditions II: Bubbling
复制标题
具有拉格朗日边界条件的反自对偶瞬子 II：冒泡
DOI：
10.1007/s00220-005-1349-y
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发表时间：
2004
影响因子：
2.4
通讯作者：
K. Wehrheim
中科院分区：
文献类型：
--
作者：
K. Wehrheim
我们研究了反自对偶瞬子在 其中，R是闭黎曼曲面。瞬子在每个边界切片上满足一个全局拉格朗日边界条件 .主要结果建立了这种边界切片附近的奇异性的能量量子化和去除。这完成了一个新的瞬子Floer同调的定义的分析基础3-流形的边界。在内部情况下，对于反自瞬子， 我们的方法提供了一个新的途径，由Sibner-Sibner的可去奇异性定理的余维2奇点与完整的条件。
We study bubbling phenomena of anti-self-dual instantons on where Σ is a closed Riemann surface. The instantons satisfy a global Lagrangian boundary condition on each boundary slice . The main results establish the energy quantization and removal of singularities near such boundary slices. This completes the analytic foundations for the definition of a new instanton Floer homology for 3-manifolds with boundary. In the interior case, for anti-self-instantons on our methods provide a new approach to the removable singularity theorem by Sibner-Sibner for codimension 2 singularities with a holonomy condition.