Abstract
We show that the presence of a plastikstufe induces a certain degree of flexibility in contact manifolds of dimension 2n + 1 gt; 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.
Original language | English (US) |
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Pages (from-to) | 1791-1814 |
Number of pages | 24 |
Journal | Geometry and Topology |
Volume | 17 |
Issue number | 3 |
DOIs | |
State | Published - Jul 8 2013 |
All Science Journal Classification (ASJC) codes
- Geometry and Topology