Loose Legendrians and the plastikstufe
Name
Murphy_Loose legendrians.pdf
Size
292.82 KB
Format
Adobe PDF
Checksum (MD5)
84b5a491a3fd5aeb010e82afd57bc477
Author(s)
Murphy, Emmy
Niederkrüger, Klaus
Plamenevskaya, Olga
Stipsicz, András I
Date Issued
July 2013
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.2140/gt.2013.17.1791
