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math.SG2016
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…
math.SG2013★ 1 cited
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…