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. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论