\(L^2\)-curvature bound for pseudoholomorphic curves in symplectisations
type: Item
instance of: scholarly article
title: \(L^2\)-curvature bound for pseudoholomorphic curves in symplectisations
zbMATH Open document ID: 1239.53108
author: Shih-Tsai Feng
published in: Taiwanese Journal of Mathematics
publication date: 2011-08-25T00:00:00Z
review text: 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)].
Mathematics Subject Classification ID: 53D35
Mathematics Subject Classification ID: 53D40
Mathematics Subject Classification ID: 53D42
Mathematics Subject Classification ID: 32Q65
zbMATH DE Number: 5943135
zbMATH Keywords: pseudoholomorphic curves: symplectisation
zbMATH Keywords: contact manifold
reviewed by: Qilin Yang
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500406157
OpenAlex ID: W3150147730
DOI: 10.11650/TWJM/1500406157
description: scientific article; zbMATH DE number 5943135