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A 4-Sphere With Noncentral Radius and its Instanton Sheaf

2014/02/28 by Lucio S. Cirio, Chiara Pagani
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Bundle #Computer science #Connection (principal bundle) #Curvature #Geometry #Homotopy and Cohomology in Algebraic Topology #Hopf fibration #Instanton #Mathematical physics #Mathematics #Pure mathematics #RADIUS #Sheaf #math.QA

paper · pdf · doi:10.1007/s11005-014-0739-5

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

openalex publication_date 2014/12/11 · arxiv created 2015/01/13 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations