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Topological complexity of some planar polygon spaces

Using known results about their mod-2 cohomology ring, we prove that the topological complexity of the space of isometry classes of n-gons in the plane with one side of length r and all others of length 1 equals either 2n-5 or 2n-6, provided that n-r is not an odd integer.

preprint2015arXivOpen access
Donald M. Davis
math.AT
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Donald M. Davis

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