English

An open four-manifold having no instanton

Differential Geometry 2010-04-21 v1

Abstract

Taubes proved that all compact oriented four-manifolds admit non-flat instantons. We show that there exists a non-compact oriented four-manifold having no non-flat instanton.

Cite

@article{arxiv.1004.3394,
  title  = {An open four-manifold having no instanton},
  author = {Masaki Tsukamoto},
  journal= {arXiv preprint arXiv:1004.3394},
  year   = {2010}
}

Comments

38 pages

R2 v1 2026-06-21T15:12:29.117Z