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Verification of Atiyah's conjecture for some nonplanar configurations with dihedral symmetry

Geometric Topology 2009-03-18 v2 Rings and Algebras

Abstract

Atiyah's conjecture concerning configurations of N points in the Euclidean three-space is verified for the following nonplanar configurations: The first m points lie on a line L and the remaining n=N-m (>2) points are the vertices of a regular n-gon whose plane is perpendicular to L and whose centroid is on L.

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Cite

@article{arxiv.math/0208089,
  title  = {Verification of Atiyah's conjecture for some nonplanar configurations with dihedral symmetry},
  author = {Dragomir Z. Djokovic},
  journal= {arXiv preprint arXiv:math/0208089},
  year   = {2009}
}

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5 pages