A stable approach to the equivariant Hopf theorem
Algebraic Topology
2020-02-13 v1 Geometric Topology
Abstract
Let G be a finite group. For semi-free G-manifolds which are oriented in the sense of Waner, the homotopy classes of G-equivariant maps into a G-sphere are described in terms of their degrees, and the degrees occurring are characterized in terms of congruences. This is first shown to be a stable problem and then solved using methods of equivariant stable homotopy theory with respect to a semi-free G-universe.
Cite
@article{arxiv.2002.04880,
title = {A stable approach to the equivariant Hopf theorem},
author = {Markus Szymik},
journal= {arXiv preprint arXiv:2002.04880},
year = {2020}
}
Comments
20 pages