论文标题
在Octonionic Nahm方程的模量空间上
On the Moduli Space of the Octonionic Nahm's Equations
论文作者
论文摘要
在本文中，我们研究了超过$ [0,1] $的Octonionic Nahm方程的一些基本属性。我们证明，超过$ [0,1] $平滑解决方案的平滑解决方案的模量空间是带有完整度量的星形平滑歧管。此外，对于一个复杂谎言组的cotangent束的任何通勤三元组，我们为八世纪Nahm的方程式构建了解决方案。此外，我们介绍了额外的对称性，并研究了八片nahm方程的解耦版本超过$ [0,1] $。我们证明了对脱钩的八世nahm方程的meromorthic溶液的kempf-ness定理。
In this paper, we study some basic properties of the octonionic Nahm's equations over $[0,1]$. We prove that the moduli space of the smooth solutions to the octonionic Nahm's equations over $[0,1]$ is a star-shaped smooth manifold with a complete metric. In addition, for any commuting triples of the cotangent bundle of a complex Lie group, we construct solutions to the octonionic Nahm's equations. Moreover, we introduce extra symmetry and study a decoupled version of the octonionic Nahm's equations over $[0,1]$. We prove a Kempf-Ness theorem for the meromorphic solutions to the decoupled octonionic Nahm's equations.
