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	Diagrams for contact 5-manifolds
	Ding, Fan ; Geiges, Hansjoerg ; van Koert, Otto
	2012
关键词	SYMPLECTIC-MANIFOLDS OPEN BOOKS HOMOLOGY KNOTS TOPOLOGY
英文摘要	According to Giroux, contact manifolds can be described as open books whose pages are Stein manifolds. For 5-dimensional contact manifolds the pages are Stein surfaces, which permit a description via Kirby diagrams. We introduce handle moves on such diagrams that do not change the corresponding contact manifold. As an application, we derive classification results for subcritically Stein fillable contact 5-manifolds and characterize the standard contact structure on the 5-sphere in terms of such fillings. This characterization is discussed in the context of the Andrews-Curtis conjecture concerning presentations of the trivial group. We further illustrate the use of such diagrams by a covering theorem for simply connected spin 5-manifolds and a new existence proof for contact structures on simply connected 5-manifolds.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000311668200002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics; SCI(E); 1; ARTICLE; 657-682; 86
语种	英语
出处	SCI
出版者	journal of the london mathematical society second series
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314376]
专题	数学科学学院
推荐引用方式 GB/T 7714	Ding, Fan,Geiges, Hansjoerg,van Koert, Otto. Diagrams for contact 5-manifolds. 2012-01-01.

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