Geiges, Hansjoerg (2019). Controlled Reeb dynamics - Three lectures not in Cala Gonone. Complex Manifolds, 6 (1). S. 118 - 138. WARSAW: SCIENDO. ISSN 2300-7443

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Abstract

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.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Geiges, HansjoergUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-138885
DOI: 10.1515/coma-2019-0006
Journal or Publication Title: Complex Manifolds
Volume: 6
Number: 1
Page Range: S. 118 - 138
Date: 2019
Publisher: SCIENDO
Place of Publication: WARSAW
ISSN: 2300-7443
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
HAMILTONIAN SEIFERT CONJECTURE; SMOOTH COUNTEREXAMPLE; ORBIT; GEODESICS; FLOWSMultiple languages
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/13888

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