| Authors: | Blagojević, Pavle Ziegler, Günter |
Title: | Convex equipartitions via Equivariant Obstruction Theory | Journal: | Israel Journal of Mathematics | Volume: | 200 | Issue: | 1 | First page: | 49 | Last page: | 77 | Issue Date: | 1-Jan-2014 | Rank: | M21 | ISSN: | 0021-2172 | DOI: | 10.1007/s11856-014-1006-6 | Abstract: | We describe a regular cell complex model for the configuration space F(ℝd, 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. |
Publisher: | Springer Link | Project: | European Union’s Seventh Framework Programme (FP7/2007-2013) / ERC, Grant agreement no. 247029-SDModels Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security |
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