Dimension of monopoles on asymptotically conic 3-manifolds
Differential Geometry
2018-01-11 v3 Analysis of PDEs
Abstract
The virtual dimensions of both framed and unframed SU(2) magnetic monopoles on asymptotically conic 3-manifolds are obtained by computing the index of a Fredholm extension of the associated deformation complex. The unframed dimension coincides with the one obtained by Braam for conformally compact 3-manifolds. The computation follows from the application of a Callias-type index theorem.
Keywords
Cite
@article{arxiv.1310.2974,
title = {Dimension of monopoles on asymptotically conic 3-manifolds},
author = {Chris Kottke},
journal= {arXiv preprint arXiv:1310.2974},
year = {2018}
}
Comments
18 pages. New revision computes both framed and unframed moduli dimensions, incorporates referee suggestions