Spin(7)-Instantons, Cayley Submanifolds and Fueter Sections

Author(s)
Walpuski, Thomas
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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 (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).
Date issued
2016-07
URI
http://hdl.handle.net/1721.1/107682
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Communications in Mathematical Physics
Publisher
Springer Berlin Heidelberg
Citation
Walpuski, Thomas. “Spin(7)-Instantons, Cayley Submanifolds and Fueter Sections.” Communications in Mathematical Physics 352, no. 1 (July 22, 2016): 1–36.
Version: Author's final manuscript
ISSN
0010-3616
1432-0916
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