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Loose Legendrians and the plastikstufe

Author(s)
Murphy, Emmy; Niederkrüger, Klaus; Plamenevskaya, Olga; Stipsicz, András I
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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.
Date issued
2013-07
URI
http://hdl.handle.net/1721.1/93118
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Geometry and Topology
Publisher
Mathematical Sciences Publishers
Citation
Murphy, Emmy, Klaus Niederkrüger, Olga Plamenevskaya, and András I Stipsicz. “Loose Legendrians and the Plastikstufe.” Geometry & Topology 17, no. 3 (2013): 1791–1814.
Version: Original manuscript
ISSN
1364-0380
1465-3060

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