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Alessia Mandini

Pontifical Catholic University of Rio de Janeiro

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GEOMETRY AND PHYSICS: XVI International Fall Workshop | 2008

A Note on the Moduli Space of Polygons

Alessia Mandini

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).

Advances in Mathematics | 2013

Hyperpolygon spaces and moduli spaces of parabolic Higgs bundles

Leonor Godinho; Alessia Mandini

Journal of Symplectic Geometry | 2014

The Duistermaat-Heckman formula and the cohomology of moduli spaces of polygons

Alessia Mandini

Journal of Symplectic Geometry | 2009

The cobordism class of the moduli space of polygons in R3

Alessia Mandini

arXiv: Symplectic Geometry | 2015

Gromov width of polygon spaces

Alessia Mandini; Milena Pabiniak

Geometriae Dedicata | 2015

Symplectic form on hyperpolygon spaces

Indranil Biswas; Carlos Florentino; Leonor Godinho; Alessia Mandini

Archive | 2007

The geometry of the moduli space of polygons in the euclidean space

Alessia Mandini

Transformation Groups | 2018

ON THE GROMOV WIDTH OF POLYGON SPACES

Alessia Mandini; Milena Pabiniak

Transformation Groups | 2013

Polygons in Minkowski three space and parabolic Higgs bundles of rank 2 on \mathbb{C}{{\mathbb{P}}^1}

Indranil Biswas; Carlos Florentino; Leonor Godinho; Alessia Mandini

arXiv: Algebraic Geometry | 2012

Polygons in Minkowski three space and parabolic Higgs bundles of rank two on CP^1

Indranil Biswas; Carlos Florentino; Leonor Godinho; Alessia Mandini

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Leonor Godinho

Instituto Superior Técnico

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Carlos Florentino

Instituto Superior Técnico

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Indranil Biswas

Tata Institute of Fundamental Research

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Milena Pabiniak

Instituto Superior Técnico

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