论文信息 - A Note on the Moduli Space of Polygons

A Note on the Moduli Space of Polygons

For any r = (r1,…,rn)∈R+n, let Mr be the space of polygons in the Euclidean space of fixed side lengths r1,…,rn modulo rigid motions. In this note we give an overview of some classical descriptions of these spaces and we present formulas for their cobordism classes and symplectic volume. For a special case, with n = 5, the volume formula is applied to calculate the cohomology ring H*(Mr,Q).

Alessia Mandini

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