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math.SG2013
Linear Symplectomorphisms as R-Lagrangian Subspaces
J. Chris Hellmann, Brennan Langenbach, Michael VanValkenburgh
The graph of a real symplectic linear transformation is an R-Lagrangian subspace of a complex symplectic vector space. The restriction of the complex symplectic form is thus purely…
math.SG2009
A Simple Proof of Unique Continuation for J-holomorphic Curves
Michael VanValkenburgh
In this expository paper, we prove strong unique continuation for J-holomorphic curves by first giving a simple proof of Aronszajn's theorem in the special case of the two-dimensio…