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

Showing math.SGShow all

5 papers · 1 filter

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.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.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…

On infinite staircases in toric symplectic four-manifolds

On the Gromov width of polygon spaces

Symplectic form on hyperpolygon spaces

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 $R^{3}$