15 citations · 31 across the 8 of their papers we have counts for
4 papers · 1 filter
Multiple reductions, foliations and the dynamics of cluster maps
Inês Cruz, Helena Mena-Matos, M. Esmeralda Sousa-Dias
Presymplectic and Poisson reduction of cluster maps are described in terms of the "canonical" foliations of presymplectic and Poisson manifolds. This approach to reduction leads to…
Reduction of cluster iteration maps to symplectic maps
Inês Cruz, M. Esmeralda Sousa-Dias
We study iteration maps of recurrence relations arising from mutation periodic quivers of arbitrary period. Combining tools from cluster algebra theory and (pre)symplectic geometry…
The fundamental group of -manifolds
L. Godinho, M. E. Sousa-Dias
We address the problem of computing the fundamental group of a symplectic -manifold for non-Hamiltonian actions on compact manifolds, and for Hamiltonian actions on non-compac…
The Symplectic Normal Space of a Cotangent-Lifted Action
Matthew Perlmutter, Miguel Rodriguez-Olmos, M. Esmeralda Sousa-Dias
For the cotangent bundle of a smooth Riemannian manifold acted upon by the lift of a smooth and proper action by isometries of a Lie group, we characterize the symplectic normal sp…