Monopoles on 3 dimensional AC manifolds
Differential Geometry
2017-05-17 v2 Mathematical Physics
math.MP
Abstract
We construct monopoles in any asymptotically conical (AC) -manifold with . For sufficiently large mass, our construction covers an open set in the moduli space of monopoles. We also give a more general construction of Dirac monopoles in any AC manifold, which may be useful for generalizing our result to the case when .
Cite
@article{arxiv.1412.2252,
title = {Monopoles on 3 dimensional AC manifolds},
author = {Goncalo Oliveira},
journal= {arXiv preprint arXiv:1412.2252},
year = {2017}
}
Comments
Definition of moduli changed in order to directly use the results in one of the key references. Exposition improved