$G_2$-instantons over asymptotically cylindrical manifolds
Differential Geometry
2015-04-14 v3 Analysis of PDEs
Abstract
A concrete model for a 7-dimensional gauge theory under special holonomy is proposed, within the paradigm outlined by Donaldson and Thomas, over the asymptotically cylindrical G2-manifolds provided by Kovalev's noncompact version of the Calabi conjecture. One obtains a solution to the -instanton equation from the associated Hermitian Yang-Mills problem, to which the methods of Simpson et al. are applied, subject to a crucial asymptotic stability assumption over the "boundary at infinity".
Keywords
Cite
@article{arxiv.1101.0880,
title = {$G_2$-instantons over asymptotically cylindrical manifolds},
author = {Henrique N. Sá Earp},
journal= {arXiv preprint arXiv:1101.0880},
year = {2015}
}
Comments
Supercedes arXiv:1101.0880v2 [math.DG]. 48 pages, 1 figure, 2 flowcharts