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arXiv · 2502.19945

A Poincar\'e-Hopf theorem for n-valued vector fields

M. C. Crabb
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Abstract

The Poincar\'e-Hopf theorem for line fields, as described in a paper of Crowley and Grant, is interpreted as a special case of a Poincar\'e-Hopf theorem for $n$-valued sections of a vector bundle over a closed manifold of the same dimension.

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M. C. Crabb. 2025-02-27. A Poincar\'e-Hopf theorem for n-valued vector fields. https://arxiv.org/abs/2502.19945

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