Alessia Mandini

activity

20082026

most citedOn infinite staircases in toric symplectic four-manifolds

5 citations · 12 across the 6 of their papers we have counts for

collaborators

9 papers

math.AG2026

Mori theory and symplectic reduction for polygons and quivers

Alessia Mandini, Alex Massarenti

We investigate the birational geometry of moduli spaces of polygons and quivers, emphasizing the link between Mori theory and symplectic reduction. On the additive side we relate M…

math.SG2020★ 5 cited

On infinite staircases in toric symplectic four-manifolds

Dan Cristofaro-Gardiner, Tara S. Holm, Alessia Mandini +1

An influential result of McDuff and Schlenk asserts that the function that encodes when a four-dimensional symplectic ellipsoid can be embedded into a four-dimensional ball has a r…

math.AG2019

Quasi-parabolic Higgs bundles and null hyperpolygon spaces

Leonor Godinho, Alessia Mandini

We introduce the moduli space of quasi-parabolic $S L (2, C)$ -Higgs bundles over a compact Riemann surface $Σ$ and consider a natural involution, studying its fixed point loc…

math.SG2015

On the Gromov width of polygon spaces

Alessia Mandini, Milena Pabiniak

For generic $r = (r_{1}, \dots, r_{n}) \in R_{+}^{n}$ the space $M (r)$ of $n$ --gons in $R^{3}$ with edges of lengths $r$ is a smooth, symplectic manifold. We investi…

math.SG2013★ 3 cited

Symplectic form on hyperpolygon spaces

Indranil Biswas, Carlos Florentino, Leonor Godinho +1

In [GM], a family of parabolic Higgs bundles on $C P^{1}$ has been constructed and identified with a moduli space of hyperpolygons. Our aim here is to give a canonical alternative con…

math.AG2012★ 1 cited

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

Indranil Biswas, Carlos Florentino, Leonor Godinho +1

Consider the moduli space of parabolic Higgs bundles (E,Φ) of rank two on CP^1 such that the underlying holomorphic vector bundle for the parabolic vector bundle E is trivial. It i…

math.AG2011

Hyperpolygon spaces and moduli spaces of parabolic Higgs bundles

Leonor Godinho, Alessia Mandini

Given an $n$ -tuple of positive real numbers $α$ we consider the hyperpolygon space $X (α)$ , the hyperkähler quotient analogue to the Kähler moduli space of polygons in $\mathbb{R}^3…

math.SG2008★ 3 cited

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

Alessia Mandini

We give a presentation of the cohomology ring of spatial polygon spaces $M (r)$ with fixed side lengths $r \in R_{+}^{n}$ . These spaces can be described as the symplectic reduct…

math.SG2008

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

Alessia Mandini

For any vector $r = (r_{1}, ..., r_{n})$ , let $M_{r}$ denote the moduli space (under rigid motions) of polygons in $R^{3}$ with $n$ -sides whose lengths are $r_{1}, ..., r_{n}$ . We give an…

Mori theory and symplectic reduction for polygons and quivers

On infinite staircases in toric symplectic four-manifolds

Quasi-parabolic Higgs bundles and null hyperpolygon spaces

On the Gromov width of polygon spaces

Symplectic form on hyperpolygon spaces

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

Hyperpolygon spaces and moduli spaces of parabolic Higgs bundles

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

The cobordism class of the moduli space of polygons in R3

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