Emmy Murphy

  1. Loose Legendrian Embeddings in High Dimensional Contact Manifolds.

    Authors: Emmy Murphy
    Subjects: Symplectic Geometry
    Abstract

    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.

Syndicate content