Controlled Reeb dynamics — Three lectures not in Cala Gonone

Complex Manifolds

Geiges Hansjörg¹ 

[1] Mathematisches Institut, Universität zu Köln, Weyertal 86–90, 50931 Köln, Germany;

关键词: contact manifold;    reeb dynamics;    traps and plugs;    contact cut;    global surface of section;    msc 2010: 37j05 (primary) 37c27;    37j45;    53d20;    53d35 (secondary);   

DOI  :  10.1515/coma-2019-0006

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown