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The Expansions of the Nahm Pole Solutions to the Kapustin-Witten Equations by He, Siqi is a scholarly article available to read on EtoBox.

What is The Expansions of the Nahm Pole Solutions to the Kapustin-Witten Equations about?

For a 3-manifold $X$ and compact simple Lie group $G$, we study the expansions of polyhomogeneous Nahm pole solutions to the Kapustin-Witten equations over $X\times (0,+\infty)$. Let $y$ be the coordinate of $(0,+\infty)$, we prove that the sub-leading terms of a polyhomogeneous Nahm pole solution is smooth to the boundary when $y\to 0$ if and only if $X$ is an Einstein 3-manifold.

Author

He, Siqi

Published

2018

Language

EN