Lagrangian caps
Name
Murphy_Lagrangian caps.pdf
Size
589.5 KB
Format
Adobe PDF
Checksum (MD5)
13b5a7b96ac7ea5c896aaf6e7add3a37
Author(s)
Eliashberg, Yakov
Murphy, Emmy
Date Issued
July 2013
Journal
Geometric and Functional Analysis
Publisher
Springer-Verlag
Citation
Eliashberg, Yakov, and Emmy Murphy. “Lagrangian Caps.” Geometric and Functional Analysis 23.5 (2013): 1483–1514.
Version
Original manuscript
Abstract
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).
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00039-013-0239-2
