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Convex Equipartitions via Equivariant Obstruction Theory

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.

preprint2013arXivOpen access
Pavle V. M. BlagojevićGünter M. Ziegler
math.ATmath.COmath.MG
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Pavle V. M. BlagojevićGünter M. Ziegler

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