\(L^2\)-curvature bound for pseudoholomorphic curves in symplectisations (Q636055)
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scientific article; zbMATH DE number 5943135
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^2\)-curvature bound for pseudoholomorphic curves in symplectisations |
scientific article; zbMATH DE number 5943135 |
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\(L^2\)-curvature bound for pseudoholomorphic curves in symplectisations (English)
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25 August 2011
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The symplectisation of a contact manifold is an example of a symplectic manifold with contact boundary. The paper gives an \(L^2\)-bound for pseudoholomorphic curves in the symplectisation of a contact manifold, which is the first step for the compactness theorem in symplectic field theory as introduced by \textit{Y. Eliashberg, A. Givental} and \textit{H. Hofer} [GAFA 2000. Part II. Basel: Birkhäuser, 560--673 (2000; Zbl 0989.81114)].
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pseudoholomorphic curves: symplectisation
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contact manifold
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