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

Dragomir Z. Djokovic

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

Dragomir Z. Djokovic

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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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Dragomir Z. Djokovic. 2002-08-13. Verification of Atiyah's conjecture for some nonplanar configurations with dihedral symmetry. https://arxiv.org/abs/math/0208089

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