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Symplectic geometry and topology

Name: Symplectic geometry and topology
Creator: V. I. Arnold
Keywords: Symplectic and contact topology in high or arbitrary dimension, symplectic, Symplectic manifolds (general theory), 01 natural sciences, Relations of dynamical systems with symplectic geometry and topology, Lagrangian submanifolds; Maslov index, symplectic structures, contact manifolds, Lagrangian singularities, Contact manifolds (general theory)

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2000 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 41, pages 3,307-3,343 (issn: 0022-2488, eissn: 1089-7658,

Authors: V. I. Arnold;

doi: 10.1063/1.533315

Symplectic geometry and topology

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Abstract

This is a review of the ideas underlying the application of symplectic geometry to Hamiltonian systems. The paper begins with symplectic manifolds and their Lagrangian submanifolds, covers contact manifolds and their Legendrian submanifolds, and indicates the first steps of symplectic and contact topology.

Related Organizations

Steklov Mathematical Institute
Russian Federation
Department of Mathematical Sciences
Russian Federation

Keywords

Symplectic and contact topology in high or arbitrary dimension, symplectic, Symplectic manifolds (general theory), Relations of dynamical systems with symplectic geometry and topology, Lagrangian submanifolds; Maslov index, symplectic structures, contact manifolds, Lagrangian singularities, Contact manifolds (general theory), caustics, wavefronts, Global theory of singularities, contact

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	37
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%

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