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arXiv 0705.2412math.DG
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Calorons的Nahm变换

The Nahm transform for calorons

Benoit Charbonneau, Jacques Hurtubise

摘要:

在本文中,我们完成了证明的等价性给予奈和辛格的calorons(瞬子上$S^1\times R^3$)和解决方案之间的等价性,以纳姆方程的圆,都满足适当的边界条件。许多关键成分是由第三种编码相同数据的方式提供的,其中涉及扭曲和复杂的几何形状。

英文摘要:

In this paper, we complete the proof of an equivalence given by Nye and Singer of the equivalence between calorons (instantons on $S^1\times R^3$) and solutions to Nahm's equations over the circle, both satisfying appropriate boundary conditions. Many of the key ingredients are provided by a third way of encoding the same data which involves twistors and complex geometry.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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