Controlled Reeb dynamics — Three lectures not in Cala Gonone

These are notes based on a mini-course at the conference RIEMain in Contact, held in Cagliari, Sardinia, in June 2018. The main theme is the connection between Reeb dynamics and topology. Topics discussed include traps for Reeb flows, plugs for Hamiltonian flows, the Weinstein conjecture, Reeb flows...

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Autor principal:	Geiges Hansjörg
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2019
Materias:	contact manifold reeb dynamics traps and plugs contact cut global surface of section msc 2010: 37j05 (primary) 37c27 37j45 53d20 53d35 (secondary) Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/aa5de04b723848249bcab01c05730c0c
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id	oai:doaj.org-article:aa5de04b723848249bcab01c05730c0c
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spelling	oai:doaj.org-article:aa5de04b723848249bcab01c05730c0c2021-12-02T10:44:17ZControlled Reeb dynamics — Three lectures not in Cala Gonone2300-744310.1515/coma-2019-0006https://doaj.org/article/aa5de04b723848249bcab01c05730c0c2019-01-01T00:00:00Zhttp://www.degruyter.com/view/j/coma.2019.6.issue-1/coma-2019-0006/coma-2019-0006.xml?format=INThttps://doaj.org/toc/2300-7443These are notes based on a mini-course at the conference RIEMain in Contact, held in Cagliari, Sardinia, in June 2018. The main theme is the connection between Reeb dynamics and topology. Topics discussed include traps for Reeb flows, plugs for Hamiltonian flows, the Weinstein conjecture, Reeb flows with finite numbers of periodic orbits, and global surfaces of section for Reeb flows. The emphasis is on methods of construction, e.g. contact cuts and lifting group actions in Boothby–Wang bundles, that might be useful for other applications in contact topology.Geiges HansjörgDe Gruyterarticlecontact manifoldreeb dynamicstraps and plugscontact cutglobal surface of sectionmsc 2010: 37j05 (primary) 37c2737j4553d2053d35 (secondary)MathematicsQA1-939ENComplex Manifolds, Vol 6, Iss 1, Pp 118-137 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	contact manifold reeb dynamics traps and plugs contact cut global surface of section msc 2010: 37j05 (primary) 37c27 37j45 53d20 53d35 (secondary) Mathematics QA1-939
spellingShingle	contact manifold reeb dynamics traps and plugs contact cut global surface of section msc 2010: 37j05 (primary) 37c27 37j45 53d20 53d35 (secondary) Mathematics QA1-939 Geiges Hansjörg Controlled Reeb dynamics — Three lectures not in Cala Gonone
description	These are notes based on a mini-course at the conference RIEMain in Contact, held in Cagliari, Sardinia, in June 2018. The main theme is the connection between Reeb dynamics and topology. Topics discussed include traps for Reeb flows, plugs for Hamiltonian flows, the Weinstein conjecture, Reeb flows with finite numbers of periodic orbits, and global surfaces of section for Reeb flows. The emphasis is on methods of construction, e.g. contact cuts and lifting group actions in Boothby–Wang bundles, that might be useful for other applications in contact topology.
format	article
author	Geiges Hansjörg
author_facet	Geiges Hansjörg
author_sort	Geiges Hansjörg
title	Controlled Reeb dynamics — Three lectures not in Cala Gonone
title_short	Controlled Reeb dynamics — Three lectures not in Cala Gonone
title_full	Controlled Reeb dynamics — Three lectures not in Cala Gonone
title_fullStr	Controlled Reeb dynamics — Three lectures not in Cala Gonone
title_full_unstemmed	Controlled Reeb dynamics — Three lectures not in Cala Gonone
title_sort	controlled reeb dynamics — three lectures not in cala gonone
publisher	De Gruyter
publishDate	2019
url	https://doaj.org/article/aa5de04b723848249bcab01c05730c0c
work_keys_str_mv	AT geigeshansjorg controlledreebdynamicsthreelecturesnotincalagonone
_version_	1718396783237791744

Controlled Reeb dynamics — Three lectures not in Cala Gonone

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