Volume 6, issue 5 (2006)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 6, 2677–3215
Issue 5, 2151–2676
Issue 4, 1619–2150
Issue 3, 1079–1618
Issue 2, 533–1078
Issue 1, 1–532

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

Author Index
The Journal
About the Journal
Editorial Board
Subscriptions
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
To Appear
 
Other MSP Journals
The plastikstufe – a generalization of the overtwisted disk to higher dimensions

Klaus Niederkrüger

Algebraic & Geometric Topology 6 (2006) 2473–2508

arXiv: math.SG/0607610

Abstract

In this article, we give a first prototype-definition of overtwistedness in higher dimensions. According to this definition, a contact manifold is called overtwisted if it contains a plastikstufe, a submanifold foliated by the contact structure in a certain way. In three dimensions the definition of the plastikstufe is identical to the one of the overtwisted disk. The main justification for this definition lies in the fact that the existence of a plastikstufe implies that the contact manifold does not have a (semipositive) symplectic filling.

Keywords
nonfillable contact manifolds of higher dimension, generalization of overtwistedness
Mathematical Subject Classification 2000
Primary: 53D10, 53R17
Secondary: 53D35
References
Forward citations
Publication
Received: 11 September 2006
Revised: 17 November 2006
Accepted: 19 November 2006
Published: 15 December 2006
Authors
Klaus Niederkrüger
Département de Mathématiques
Université Libre de Bruxelles, CP 218
Boulevard du Triomphe
B-1050 Bruxelles
Belgium