Volume 17, issue 3 (2013)

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

Volume 21
Issue 6, 3191–3810
Issue 5, 2557–3190
Issue 4, 1931–2555
Issue 3, 1285–1930
Issue 2, 647–1283
Issue 1, 1–645

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Loose Legendrians and the plastikstufe

Emmy Murphy, Klaus Niederkrüger, Olga Plamenevskaya and András I Stipsicz

Geometry & Topology 17 (2013) 1791–1814
Abstract

We show that the presence of a plastikstufe induces a certain degree of flexibility in contact manifolds of dimension 2n + 1 > 3. More precisely, we prove that every Legendrian knot whose complement contains a “nice” plastikstufe can be destabilized (and, as a consequence, is loose). As an application, it follows in certain situations that two nonisomorphic contact structures become isomorphic after connect-summing with a manifold containing a plastikstufe.

Keywords
contact manifolds, loose Legendrian knots, plastikstufe, overtwisted contact manifolds
Mathematical Subject Classification 2010
Primary: 57R17
References
Publication
Received: 18 December 2012
Revised: 3 March 2013
Accepted: 8 April 2013
Published: 8 July 2013
Proposed: Yasha Eliashberg
Seconded: Leonid Polterovich, Jean-Pierre Otal
Authors
Emmy Murphy
Department of Mathematics
MIT
77 Massachusetts Avenue
Cambridge, MA 02139
USA
Klaus Niederkrüger
Institut de math.
Université Paul Sabatier – Toulouse III
31062 Toulouse, Cedex 9
France
http://www.math.univ-toulouse.fr/~niederkr/
Olga Plamenevskaya
Department of Mathematics
Stony Brook University
Stony Brook, NY 11790
USA
András I Stipsicz
Rényi Institute of Mathematics
Hungarian Academy of Sciences
1053 Budapest
Hungary
http://www.renyi.hu/~stipsicz