Homotopy classification of maps into homogeneous spaces
Geometric Topology
2012-11-26 v2 Algebraic Topology
Abstract
We give an alternative to Postnikov's homotopy classification of maps from 3-dimensional CW-complexes to homogeneous spaces G/H of Lie groups. It describes homotopy classes in terms of lifts to the group G and is suitable for extending the notion of homotopy to Sobolev maps. This is required for applications to variational problems of mathematical physics.
Cite
@article{arxiv.0808.0024,
title = {Homotopy classification of maps into homogeneous spaces},
author = {Sergiy Koshkin},
journal= {arXiv preprint arXiv:0808.0024},
year = {2012}
}
Comments
Appendix deleted, exposition improved, contact information updated; 13 pages, no figures