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20152020
most citedExamples of integrable and non-integrable systems on singular symplectic manifolds

40 citations · 127 across the 7 of their papers we have counts for

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math.SG2018★ 5 cited

A -symplectic slice theorem

Roisin Braddell, Anna Kiesenhofer, Eva Miranda

In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of -symplectic manifolds started in [12], we prove a slice t…

math.SG2016★ 15 cited

Non-commutative integrable systems on -symplectic manifolds

Anna Kiesenhofer, Eva Miranda

In this paper we study non-commutative integrable systems on -Poisson manifolds. One important source of examples (and motivation) of such systems comes from considering non-com…

math.SG2016★ 37 cited

Cotangent models for integrable systems

Anna Kiesenhofer, Eva Miranda

We associate cotangent models to a neighbourhood of a Liouville torus in symplectic and Poisson manifolds focusing on a special class called -Poisson/-symplectic manifolds. T…

math.SG2015★ 40 cited

Examples of integrable and non-integrable systems on singular symplectic manifolds

Amadeu Delshams, Anna Kiesenhofer, Eva Miranda

We present a collection of examples borrowed from celestial mechanics and projective dynamics. In these examples symplectic structures with singularities arise naturally from regul…

math.SG2015★ 24 cited

Action-angle variables and a KAM theorem for b-Poisson manifolds

Anna Kiesenhofer, Eva Miranda, Geoffrey Scott

In this article we prove an action-angle theorem for b-integrable systems on b-Poisson manifolds improving the action-angle theorem contained in [LMV11] for general Poisson manifol…