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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De Gruyter
2019-01-01
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| Series: | Complex Manifolds |
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| Online Access: | http://www.degruyter.com/view/j/coma.2019.6.issue-1/coma-2019-0006/coma-2019-0006.xml?format=INT |
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doaj-aa5de04b723848249bcab01c05730c0c2020-11-25T02:12:28ZengDe GruyterComplex Manifolds2300-74432019-01-016111813710.1515/coma-2019-0006coma-2019-0006Controlled Reeb dynamics — Three lectures not in Cala GononeGeiges Hansjörg0Mathematisches Institut, Universität zu Köln, Weyertal 86–90, 50931 Köln, GermanyThese 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.http://www.degruyter.com/view/j/coma.2019.6.issue-1/coma-2019-0006/coma-2019-0006.xml?format=INTcontact manifoldreeb dynamicstraps and plugscontact cutglobal surface of sectionmsc 2010: 37j05 (primary) 37c2737j4553d2053d35 (secondary) |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Geiges Hansjörg |
| spellingShingle |
Geiges Hansjörg Controlled Reeb dynamics — Three lectures not in Cala Gonone Complex Manifolds contact manifold reeb dynamics traps and plugs contact cut global surface of section msc 2010: 37j05 (primary) 37c27 37j45 53d20 53d35 (secondary) |
| 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 |
| series |
Complex Manifolds |
| issn |
2300-7443 |
| publishDate |
2019-01-01 |
| 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. |
| topic |
contact manifold reeb dynamics traps and plugs contact cut global surface of section msc 2010: 37j05 (primary) 37c27 37j45 53d20 53d35 (secondary) |
| url |
http://www.degruyter.com/view/j/coma.2019.6.issue-1/coma-2019-0006/coma-2019-0006.xml?format=INT |
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AT geigeshansjorg controlledreebdynamicsthreelecturesnotincalagonone |
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