Spin(7)-Instantons, Cayley Submanifolds and Fueter Sections
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Author(s)
Walpuski, Thomas
Date Issued
July 2016
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
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).
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00220-016-2724-6
