Spin(7)-Instantons, Cayley Submanifolds and Fueter Sections
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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 (Ann Math (2) 151(1):193–268, 2000). 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 (Spin(7) instantons, Ph.D. Thesis, 1998).
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Communications in Mathematical Physics
Springer Berlin Heidelberg
Walpuski, Thomas. “Spin(7)-Instantons, Cayley Submanifolds and Fueter Sections.” Communications in Mathematical Physics 352, no. 1 (July 22, 2016): 1–36.
Author's final manuscript