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arXiv · 1409.6705

Spin(7)-instantons, Cayley submanifolds, and Fueter sections

Thomas Walpuski
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Abstract

We prove an existence theorem for Spin(7)-instantons, which are highly concentrated near a Cayley submanifold; thus giving a partial converse to Tian's foundational compactness theorem. As an application, we show how to construct Spin(7)-instantons on Spin(7)-manifolds with suitable local K3 Cayley fibrations. This recovers an example constructed by Lewis.

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Thomas Walpuski. 2014-09-23. Spin(7)-instantons, Cayley submanifolds, and Fueter sections. https://doi.org/10.1007/s00220-016-2724-6

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