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

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)-mani...

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Bibliographic Details
Main Author: Walpuski, Thomas
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2017
Online Access:http://hdl.handle.net/1721.1/107682
https://orcid.org/0000-0002-2705-3423