English

A classification of fibre bundles over 2-dimensional spaces

Algebraic Topology 2007-05-23 v1 High Energy Physics - Theory

Abstract

The classification problem for principal fibre bundles over two-dimensional CW-complexes is considered. Using the Postnikov factorization for the base space of a universal bundle a Puppe sequence that gives an implicit solution for the classification problem is constructed. In cases, when the structure group GG is path-connected or π1(G)=0\pi_{1}(G) = 0, the classification can be given in terms of cohomology groups.

Keywords

Cite

@article{arxiv.math/9911217,
  title  = {A classification of fibre bundles over 2-dimensional spaces},
  author = {Yu. A. Kubyshin},
  journal= {arXiv preprint arXiv:math/9911217},
  year   = {2007}
}

Comments

28 pages, Latex, to be published in the Proceedings of the Meeting "New Developments in Algebraic Topology" (July 13-14, 1998, Faro, Portugal)