Spin(7)-instantons, Cayley submanifolds, and Fueter sections
Differential Geometry
2018-10-04 v3
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.
Cite
@article{arxiv.1409.6705,
title = {Spin(7)-instantons, Cayley submanifolds, and Fueter sections},
author = {Thomas Walpuski},
journal= {arXiv preprint arXiv:1409.6705},
year = {2018}
}
Comments
v3: published version. Section 3 draws heavily from a corresponding section in arXiv:1205.5350