调和旋量的Kato-Yau不等式和本征旋量的衰减估计
A Kato-Yau inequality for harmonic spinors and decay estimate for eigenspinors
摘要：
我们证明了调和旋量服从著名的逐点Kato不等式的一个加强版本的向量丛部分的连接。然后，我们证明了衰减估计本征旋量使用此加藤-丘估计和由此产生的微分不等式。我们简要地描述了规范理论的一些应用-特别是当粘合和解开PU（2）单极时使用的积分估计（数学DG/9907107）。
英文摘要：
We show that harmonic spinors obey a strengthened version of the well-known pointwise Kato inequality for sections of a vector bundle with a connection. We then prove a decay estimate for eigenspinors using this Kato-Yau estimate and resulting differential inequality. We briefly describe some applications to gauge theory---specifically to integral estimates which are used when gluing and ungluing PU(2) monopoles (math.DG/9907107).
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