Lagrangian caps

Lagrangian caps

We establish an h-principle for exact Lagrangian embeddings with concave Legendrian boundary. We prove, in particular, that in the complement of the unit ball B in the standard symplectic R[superscript 2n], 2n ≥ 6 , there exists an embedded Lagrangian n-disc transversely attached to B along its Lege...

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Bibliographic Details
Main Authors: Eliashberg, Yakov (Author), Murphy, Emmy (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer-Verlag, 2015-01-22T15:23:06Z.
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Summary:We establish an h-principle for exact Lagrangian embeddings with concave Legendrian boundary. We prove, in particular, that in the complement of the unit ball B in the standard symplectic R[superscript 2n], 2n ≥ 6 , there exists an embedded Lagrangian n-disc transversely attached to B along its Legendrian boundary, which is loose in the sense of Murphy (Loose Legendrian embeddings in high dimensional contact manifolds, arXiv:1201.2245, 2013).
National Science Foundation (U.S.) (Grant DMS-0943787)

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