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Finite-energy pseudoholomorphic planes with multiple asymptotic limits - MaRDI portal

Finite-energy pseudoholomorphic planes with multiple asymptotic limits (Q2396227)

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Finite-energy pseudoholomorphic planes with multiple asymptotic limits
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    Finite-energy pseudoholomorphic planes with multiple asymptotic limits (English)
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    7 June 2017
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    The main result is the following: Theorem. Let \((M,\xi)\) be a contact manifold. Then there exists a contact form \(\lambda\) on \(M\) and a compatible complex structure \(J\) on \(\xi\) so that there exists a set of finite-energy pseudoholomorphic planes and cylinders for the data \((\lambda,J)\) whose limit sets are diffeomorphic to the 2-torus.
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    pseudoholomorphic plane
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    contact structure
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    asymptotic limit
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    symplectic manifold
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