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arXiv · 1604.04188

On the cohomology classes of planar polygon spaces

Donald M. Davis
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Abstract

We obtain an explicit formula for the Poincare duality isomorphism H^{n-3}(Mbar(ell)) to Z/2 for the space of isometry classes of n-gons with specified side lengths, if ell is monogenic in the sense of Hausmann-Rodriguez. This has potential application to topological complexity.

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Donald M. Davis. 2016-04-14. On the cohomology classes of planar polygon spaces. https://arxiv.org/abs/1604.04188

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