Manifold properties of planar polygon spaces
Algebraic Topology
2018-05-09 v2
Abstract
We prove that the tangent bundle of a generic space of planar n-gons with specified side lengths, identified under isometry, plus a trivial line bundle is isomorphic to (n-2) times a canonical line bundle. We then discuss consequences for orientability, cobordism class, immersions, and parallelizability.
Keywords
Cite
@article{arxiv.1804.01801,
title = {Manifold properties of planar polygon spaces},
author = {Donald M. Davis},
journal= {arXiv preprint arXiv:1804.01801},
year = {2018}
}
Comments
Replaces an earlier version called "The tangent bundle of planar polygon spaces." Adds a good result about parallelizability