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math.SG2012★ 15 cited
Loose Legendrians and the plastikstufe
Emmy Murphy, Klaus Niederkrüger, Olga Plamenevskaya +1
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 wh…
math.SG2012★ 79 cited
Loose Legendrian embeddings in high dimensional contact manifolds
Emmy Murphy
We give an --principle type result for a class of Legendrian embeddings in contact manifolds of dimension at least . These Legendrians, referred to as loose, have trivial pse…