Lagrangian caps

Yakov Eliashberg*, Emmy Murphy

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

40 Scopus citations


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 ℝ2n, 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).

Original languageEnglish (US)
Pages (from-to)1483-1514
Number of pages32
JournalGeometric and Functional Analysis
Issue number5
StatePublished - Oct 2013

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology


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