English

Singular Monopoles on Closed 3-Manifolds

Differential Geometry 2022-10-26 v1

Abstract

We prove the existence of non-trivial irreducible SU(2)-monopoles with Dirac singularities on any rational homology 3-sphere, equipped with any Riemannian metric, using a gluing construction.

Keywords

Cite

@article{arxiv.2210.13754,
  title  = {Singular Monopoles on Closed 3-Manifolds},
  author = {Saman Habibi Esfahani},
  journal= {arXiv preprint arXiv:2210.13754},
  year   = {2022}
}

Comments

56 pages

R2 v1 2026-06-28T04:25:55.953Z