A Poincar\'e-Hopf theorem for n-valued vector fields
Algebraic Topology
2025-02-28 v1
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 -valued sections of a vector bundle over a closed manifold of the same dimension.
Cite
@article{arxiv.2502.19945,
title = {A Poincar\'e-Hopf theorem for n-valued vector fields},
author = {M. C. Crabb},
journal= {arXiv preprint arXiv:2502.19945},
year = {2025}
}