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Given a flexible $n$-gon with generic side lengths, the moduli space of itsconfigurations in $\mathbb{R}^2$ as well as in $\mathbb{R}^3$ is a smoothmanifold. It is equipped with $n$ \textit{tautological} line bundles whosedefinition is motivated by M. Kontsevich's tautological bundles over$\mathcal{M}_{0,n}$. We study their Euler classes, first Chern classes andintersection numbers, that is, top monomials in Chern (Euler) classes. Thelatter are interpreted geometrically as the signed numbers of some\textit{triangular configurations} of the flexible polygon.

Intersection numbers of Chern classes of tautological line bundles on the moduli spaces of flexible polygons