Convex Equipartitions via Equivariant Obstruction Theory
arXiv:1202.5504
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.
Revised and improved version with extra explanations, 20 pages, 7 figures, to appear in Israel J. Math