The Hopf type theorem for equivariant gradient local maps

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 $\mathbb{Z}$.

arXiv comment18 pages, 5 figures, new figures, added references, corrected typos, extra explanations

References in corpus (1)

• The Hopf type theorem for equivariant local maps