3 citations · 9 across the 10 of their papers we have counts for
13 papers
On a symplectic generalization of a Hirzebruch problem
Leonor Godinho, Nicholas Lindsay, Silvia Sabatini
Motivated by a problem of Hirzebruch, we study -dimensional, closed, symplectic manifolds having a Hamiltonian torus action with isolated fixed points and second Betti number eq…
Classification of Hamiltonian -actions on compact symplectic orbifolds with isolated cyclic singular points in dimension four
Leonor Godinho, Grace T. Mwakyoma-Oliveira, Daniele Sepe
In this paper, we classify Hamiltonian -actions on compact, four dimensional symplectic orbifolds that have isolated singular points with cyclic orbifold structure groups, thu…
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…
12, 24 and Beyond
Leonor Godinho, Frederik von Heymann, Silvia Sabatini
We generalize the well-known "12" and "24" Theorems for reflexive polytopes of dimension 2 and 3 to any smooth reflexive polytope. Our methods apply to a wider category of objects,…
Fermat and the number of fixed points of periodic flows
Leonor Godinho, Álvaro Pelayo, Silvia Sabatini
We obtain a general lower bound for the number of fixed points of a circle action on a compact almost complex manifold of dimension with nonempty fixed point set, provided…
Symplectic form on hyperpolygon spaces
Indranil Biswas, Carlos Florentino, Leonor Godinho +1
In [GM], a family of parabolic Higgs bundles on has been constructed and identified with a moduli space of hyperpolygons. Our aim here is to give a canonical alternative con…