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arXiv · 1510.00235

The Hopf type theorem for equivariant gradient local maps

Piotr Bartłomiejczyk·Piotr Nowak-Przygodzki
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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 $\mathbb{Z}$.

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Piotr Bartłomiejczyk, Piotr Nowak-Przygodzki. 2016-02-23. The Hopf type theorem for equivariant gradient local maps. https://doi.org/10.1007/s11784-017-0451-z

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