Convex Equipartitions via Equivariant Obstruction Theory
Algebraic Topology
2013-07-05 v3 Combinatorics
Metric Geometry
Abstract
We describe a regular cell complex model for the configuration space F(\R^d,n). Based on this, we use Equivariant Obstruction Theory to prove the prime power case of the conjecture by Nandakumar and Ramana Rao that every polygon can be partitioned into n convex parts of equal area and perimeter.
Keywords
Cite
@article{arxiv.1202.5504,
title = {Convex Equipartitions via Equivariant Obstruction Theory},
author = {Pavle V. M. Blagojević and Günter M. Ziegler},
journal= {arXiv preprint arXiv:1202.5504},
year = {2013}
}
Comments
Revised and improved version with extra explanations, 20 pages, 7 figures, to appear in Israel J. Math