Loose Legendrians and the plastikstufe

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 applicatio...

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Detalhes bibliográficos
Principais autores: Murphy, Emmy, Niederkrüger, Klaus, Plamenevskaya, Olga, Stipsicz, András I
Outros Autores: Massachusetts Institute of Technology. Department of Mathematics
Formato: Artigo
Idioma:en_US
Publicado em: Mathematical Sciences Publishers 2015
Acesso em linha:http://hdl.handle.net/1721.1/93118
https://orcid.org/0000-0002-8787-6739