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

被引：9
|
作者：
Walpuski, Thomas [1 ]
机构：
[1] MIT, Dept Math, 77 Massachusetts Ave, Cambridge, MA 02139 USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2017年 / 352卷 / 01期
基金：
欧洲研究理事会;
关键词：
YANG-MILLS CONNECTIONS; GAUGE-THEORY; COMPACT; 8-MANIFOLDS; CALIBRATED GEOMETRY; CONSTRUCTION; SPACES;
D O I：
10.1007/s00220-016-2724-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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).
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页码：1 / 36
页数：36
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