An elementary proof of Novikov's theorem
Geometric Topology
2023-03-01 v1
Abstract
Novikov's theorem states that, given a taut (codimension-one) foliation on a closed 3-manifold M, the fundamental group of any leaf injects into the fundamental group of M. We use foliated branched covers to give a simple proof of this result.
Cite
@article{arxiv.2302.14759,
title = {An elementary proof of Novikov's theorem},
author = {Samuel Ranz and Lauran Toussaint},
journal= {arXiv preprint arXiv:2302.14759},
year = {2023}
}
Comments
10 pages, 1 figure