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2012

Convex Equipartitions via Equivariant Obstruction Theory

Blagojević, Pavle V. M., Ziegler, Günter M.

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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.

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Reprinted in Gesammelte Abhandlungen II (Leipzig and Berlin, 1911) 103–121
1911
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Reprinted in Gesammelte Abhandlungen II (Leipzig and Berlin, 1911) 230–276
1911
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Updated and corrected version, Sept. 2001,
2001
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http://www.emis.de/journals/INTEGERS/papers/e14/e14.pdf
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