An invitation to singular symplectic geometry-Reference-Cited by-同舟云学术

An invitation to singular symplectic geometry

Published:2019-01-29 Issue:supp01 Volume:16 Page:1940008
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Braddell Roisin¹²,Delshams Amadeu¹²,Miranda Eva¹²,Oms Cédric¹²,Planas Arnau¹²

Affiliation:

1. Laboratory of Geometry and Dynamical Systems, Departament of Mathematics, EPSEB, Universitat Politècnica de Catalunya BGSMath Barcelona, Graduate School of Mathematics in Barcelona, Spain

2. IMCCE, CNRS-UMR8028, Observatoire de Paris, PSL University, Sorbonne Université, 77 Avenue Denfert-Rochereau, 75014 Paris, France

Abstract

In this paper, we analyze in detail a collection of motivating examples to consider [Formula: see text]-symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every [Formula: see text]-symplectic structure. At the end of the paper, we introduce the odd-dimensional analogue to [Formula: see text]-symplectic manifolds: [Formula: see text]-contact manifolds.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887819400085

Reference19 articles.

1. A classification of topologically stable Poisson structures on a compact oriented surface

2. Symplectic and Poisson geometry on b-manifolds

3. A note on the symplectic topology of $b$-manifolds

4. Cotangent Models for Integrable Systems

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