2017•LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas)Open access

An invitation to singular symplectic geometry

Miranda Galcerán, Eva, Amadeu Delshams, Dempsey Bradell, Roisin Mary, Cédric Oms, Planas Bahí, Arnau

Abstract

In this paper we analyze in detail a collection of motivating examples to consider bm-\nsymplectic forms and folded-type symplectic structures. In particular, we provide models in\nCelestial Mechanics for every bm-symplectic structure. At the end of the paper, we introduce\nthe odd-dimensional analogue to b-symplectic manifolds: b-contact manifolds.

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Key concepts: Symplectic geometry, Symplectic representation, Symplectomorphism, Moment map, Symplectic vector space, Symplectic matrix, Symplectic manifold, Symplectic group