A stable approach to the equivariant Hopf theorem |
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Authors: | Markus Szymik |
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Affiliation: | Fakultät für Mathematik, Ruhr-Universität Bochum, 44780 Bochum, Germany |
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Abstract: | Let G be a finite group. For semi-free G-manifolds which are oriented in the sense of Waner [S. Waner, Equivariant RO(G)-graded bordism theories, Topology and its Applications 17 (1984) 1-26], the homotopy classes of G-equivariant maps into a G-sphere are described in terms of their degrees, and the degrees occurring are characterised 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. |
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Keywords: | 57R91 55P91 55P92 |
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