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L2-Curvature Bound for Pseudoholomorphic Curves in Symplectisations

L2-Curvature Bound for Pseudoholomorphic Curves in Symplectisations

We provide an $L^{2}$-bound for pseudoholomorphic curves in symplectisation of contact manifolds which is the first step for compactness theorem in symplectic field theory introduced by Eliashberg, Givental and Hofer.