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OverviewIn this paper the authors start with the construction of the symplectic field theory (SFT). As a general theory of symplectic invariants, SFT has been outlined in Introduction to symplectic field theory (2000), by Y. Eliashberg, A. Givental and H. Hofer who have predicted its formal properties. The actual construction of SFT is a hard analytical problem which will be overcome be means of the polyfold theory due to the present authors. The current paper addresses a significant amount of the arising issues and the general theory will be completed in part II of this paper. To illustrate the polyfold theory the authors use the results of the present paper to describe an alternative construction of the Gromov-Witten invariants for general compact symplectic manifolds. Full Product DetailsAuthor: H. Hofer , K. Wysocki , E. ZehnderPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.320kg ISBN: 9781470422035ISBN 10: 1470422034 Pages: 218 Publication Date: 30 June 2017 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction and main results Recollections and technical results The polyfold structures The nonlinear Cauchy-Riemann operator Appendices Bibliography Index.ReviewsAuthor InformationH. Hofer, Institute for Advanced Study, Princeton, New Jersey. K. Wysocki, Penn State University, State College, Pennsylvania. E. Zehnder, ETH-Zurich, Switzerland. Tab Content 6Author Website:Countries AvailableAll regions |