The Hopf type theorem for equivariant gradient local maps
Algebraic Topology
2018-01-09 v2
Abstract
We construct a degree-type otopy invariant for equivariant gradient local maps in the case of a real finite dimensional orthogonal representation of a compact Lie group. We prove that the invariant establishes a bijection between the set of equivariant gradient otopy classes and the direct sum of countably many copies of .
Cite
@article{arxiv.1510.00235,
title = {The Hopf type theorem for equivariant gradient local maps},
author = {Piotr Bartłomiejczyk and Piotr Nowak-Przygodzki},
journal= {arXiv preprint arXiv:1510.00235},
year = {2018}
}
Comments
18 pages, 5 figures, new figures, added references, corrected typos, extra explanations