Monopoles and contact 3-manifolds
Differential Geometry
2007-05-23 v2 Symplectic Geometry
Abstract
We propose the study of some kind of monopole equations directly associated with a contact structure. Through a rudimentary analysis about the solutions, we show that a closed contact 3-manifold with positive Tanaka-Webster curvature and vanishing torsion must be either not symplectically semifillable or having torsion Euler class of the contact structure.
Cite
@article{arxiv.math/9905066,
title = {Monopoles and contact 3-manifolds},
author = {Jih-Hsin Cheng and Hung-Lin Chiu},
journal= {arXiv preprint arXiv:math/9905066},
year = {2007}
}
Comments
25pages