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

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

2008-02-19

arxiv.org/abs/0802.2700v2

Mathematics

Symplectic Geometry

29 pages, 8 figures, Remark 9 added, circle action specified in main Theorem

Scientific paper

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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