3 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
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 -Higgs bundles over a compact Riemann surface and consider a natural involution, studying its fixed point loc…