\(L^2\)-curvature bound for pseudoholomorphic curves in symplectisations
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)].
pseudoholomorphic curves: symplectisation
scientific article; zbMATH DE number 5943135