Homotopy classification of maps into homogeneous spaces

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.

Appendix deleted, exposition improved, contact information updated; 13 pages, no figures

References in corpus (2)

• Fermionic quantization and configuration spaces for the Skyrme and Faddeev-Hopf models
• Analysis of the Faddeev model