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arXiv · 0802.2700

The cobordism class of the moduli space of polygons in $\mathbb{R}^3$

Alessia Mandini
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Abstract

For any vector $r=(r_1,..., r_n)$, let $M_r$ denote the moduli space (under rigid motions) of polygons in $\mathbb{R}^3$ with $n$-sides whose lengths are $r_1,...,r_n$. We give an explicit characterization of the oriented $S^1$-cobordism class of $M_r$ which depends uniquely on the length vector $r$.

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Alessia Mandini. 2008-08-04. The cobordism class of the moduli space of polygons in $\mathbb{R}^3$. https://arxiv.org/abs/0802.2700

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