Applications of Polyfold Theory I: The Polyfolds of Gromov-Witten Theory

Author:   H. Hofer ,  K. Wysocki ,  E. Zehnder
Publisher:   American Mathematical Society
ISBN:  

9781470422035


Pages:   218
Publication Date:   30 June 2017
Format:   Paperback
Availability:   In Print   Availability explained
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Applications of Polyfold Theory I: The Polyfolds of Gromov-Witten Theory


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Overview

In 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.

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Author:   H. Hofer ,  K. Wysocki ,  E. Zehnder
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.320kg
ISBN:  

9781470422035


ISBN 10:   1470422034
Pages:   218
Publication Date:   30 June 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
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 Contents

Introduction and main results Recollections and technical results The polyfold structures The nonlinear Cauchy-Riemann operator Appendices Bibliography Index.

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Author Information

H. Hofer, Institute for Advanced Study, Princeton, New Jersey. K. Wysocki, Penn State University, State College, Pennsylvania. E. Zehnder, ETH-Zurich, Switzerland.

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