Affine configurations and pure braids

Mathematics – Geometric Topology

Scientific paper

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5 pages, 1 figure, final version; to appear in Discrete & Computational Geometry, available from the publishers at http://ww

Scientific paper

10.1007/s00454-008-9069-7

We show that the fundamental group of the space of ordered affine-equivalent
configurations of at least five points in the real plane is isomorphic to the
pure braid group modulo its centre. In the case of four points this fundamental
group is free with eleven generators.

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