K-theory and immersions of spatial polygon spaces
Algebraic Topology
2019-01-15 v1
Abstract
For ell a generic n-tuple of positive numbers, N(ell) denotes the space of isometry classes of oriented n-gons in R^3 with side lengths specified by ell. We determine the algebra K(N(ell)) and use this to obtain nonimmersions of the 2(n-3)-manifold N(ell) in Euclidean space for several families of ell. We also use obstruction theory to tell exactly when N(ell) immerses in R^{4n-14} for two families of ell.
Cite
@article{arxiv.1901.03983,
title = {K-theory and immersions of spatial polygon spaces},
author = {Donald M Davis},
journal= {arXiv preprint arXiv:1901.03983},
year = {2019}
}