English

Equivariant principal bundles over spheres and cohomogeneity one manifolds

Geometric Topology 2013-02-12 v1 Algebraic Topology

Abstract

We classify SO(n)-equivariant principal bundles over SnS^n in terms of their isotropy representations over the north and south poles. This is an example of a general result classifying equivariant (Π,G)(\Pi, G)-bundles over cohomogeneity one manifolds.

Keywords

Cite

@article{arxiv.math/0103134,
  title  = {Equivariant principal bundles over spheres and cohomogeneity one manifolds},
  author = {Ian Hambleton and Jean-Claude Hausmann},
  journal= {arXiv preprint arXiv:math/0103134},
  year   = {2013}
}

Comments

25 pages, Max Planck Institut fuer Mathematik Preprint 2001-18