G<inf>2</inf>-Instantons on Noncompact G<inf>2</inf>-Manifolds: Results and Open Problems

Author: 

Lotay, J
Oliveira, G

Publication Date: 

1 January 2020

Journal: 

Fields Institute Communications

Last Updated: 

2021-01-10T22:36:52.75+00:00

Volume: 

84

DOI: 

10.1007/978-1-0716-0577-6_13

page: 

287-317

abstract: 

© 2020, Springer Science+Business Media, LLC, part of Springer Nature. We survey the known existence and non-existence results for -instantons on non-compact cohomogeneity-1 -manifolds and their consequences, including an explicit example of a family of -instantons where bubbling, removable singularities and conservation of energy phenomena occur. We also describe several open problems for future research.

Symplectic id: 

1113762

Submitted to ORA: 

Not Submitted

Publication Type: 

Chapter