Generalized 1-skeleta and a lifting result
Combinatorics
2014-04-09 v2
Abstract
In their paper "1-skeleta, Betti numbers, and equivariant cohomology" Guillemin and Zara described some beautiful constructions enabling them to use Morse theory on a certain class 1-skeleta including 1-skeleta of simple polytopes. In this paper we extend some of the notions and constructions from that paper to a larger class of 1-skeleta that includes 1-skeleta of projected simple polytopes. As an application of these ideas we prove a lifting result for 1-skeleta, which yields a characterization of 1-skeleta coming from projected simple polytopes.
Cite
@article{arxiv.1203.3836,
title = {Generalized 1-skeleta and a lifting result},
author = {Chris McDaniel},
journal= {arXiv preprint arXiv:1203.3836},
year = {2014}
}
Comments
38 pages, 14 figures, 7 tables, fixed some typos, replaced some inaccurate figures, added some figures and references