WorldCat Identities

Murphy, Maxwell Le

Works: 1 works in 1 publications in 1 language and 1 library holdings
Roles: Author
Publication Timeline
Most widely held works by Maxwell Le Murphy
Loose legendrian embeddings in high dimensional contact manifolds by Maxwell Le Murphy( )

1 edition published in 2012 in English and held by 1 WorldCat member library worldwide

We give an h-principle type result for a class of Legendrian embeddings in contact manifolds of dimension at least $5$. These Legendrians, referred to as loose, have trivial pseudo-holomorphic invariants. We demonstrate they are classified up to ambient contact isotopy by smooth embedding class equipped with an almost complex framing. This result is inherently high dimensional: analogous results in dimension $3$ are false
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Audience level: 0.81 (from 0.81 for Loose lege ... to 0.81 for Loose lege ...)