English

A 4-sphere with non central radius and its instanton sheaf

Quantum Algebra 2015-06-18 v2

Abstract

We build an SU(2)-Hopf bundle over a quantum toric four-sphere whose radius is non central. The construction is carried out using local methods in terms of sheaves of Hopf-Galois extensions. The associated instanton bundle is presented and endowed with a connection with anti-selfdual curvature.

Cite

@article{arxiv.1402.6609,
  title  = {A 4-sphere with non central radius and its instanton sheaf},
  author = {Lucio S. Cirio and Chiara Pagani},
  journal= {arXiv preprint arXiv:1402.6609},
  year   = {2015}
}

Comments

minor changes, appendix section extended. To appear in Letters in Mathematical Physics. 22 pages, no figures

R2 v1 2026-06-22T03:16:25.679Z