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math.SG2019
Non-existence of Global Transverse Poincaré Sections
Roisin Braddell
We study global transverse Poincaré sections and give topological conditions for their existence, showing they never exist in many important cases. We prove that an energy hypersur…
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.SG2017
An Invitation to Singular Symplectic Geometry
Roisin Braddell, Amadeu Delshams, Eva Miranda +2
In this paper we analyze in detail a collection of motivating examples to consider -symplectic forms and folded-type symplectic structures. In particular, we provide models in…