Projective span of Wall manifolds
Algebraic Topology
2023-11-27 v1
Abstract
The projective span of a smooth manifold is defined to be the maximal number of linearly independent tangent line fields. We initiate a study of projective span, highlighting its relationship with the span, a more classical invariant. We calculate the projective span for all Wall manifolds, which are certain mapping tori of Dold manifolds.
Keywords
Cite
@article{arxiv.2311.14107,
title = {Projective span of Wall manifolds},
author = {Mark Grant and Baylee Schutte},
journal= {arXiv preprint arXiv:2311.14107},
year = {2023}
}