Framings and Projective Framings for 3-Manifolds
Geometric Topology
2007-05-23 v1
Abstract
We give an elementary proof of the fact that any orientable 3-manifold admits a framing (i.e. is parallelizable) and any non-orientable 3-manifold admits a projective framing. The proof uses only basic facts about immersions of surfaces in 3-space.
Cite
@article{arxiv.math/0312311,
title = {Framings and Projective Framings for 3-Manifolds},
author = {Tahl Nowik},
journal= {arXiv preprint arXiv:math/0312311},
year = {2007}
}