Applications of Polyfold Theory I : (Record no. 128782)
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| fixed length control field | 04248nam a22004813i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC4940246 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729131353.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2017 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470440602 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781470422035 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC4940246 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL4940246 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11421870 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1000451805 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA665.H64 2017 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.3/6 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Hofer, H. |
| 245 10 - TITLE STATEMENT | |
| Title | Applications of Polyfold Theory I : |
| Remainder of title | The Polyfolds of Gromov-Witten Theory. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2017. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2017. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (230 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.248 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Chapter 1. Introduction and Main Results -- 1.1. The Space Z of Stable Curves -- 1.2. The Bundle W -- 1.3. Fredholm Theory -- 1.4. The GW-invariants -- Chapter 2. Recollections and Technical Results -- 2.1. Deligne-Mumford type Spaces -- 2.2. Sc-smoothness, Sc-splicings, and Polyfolds -- 2.3. Polyfold Fredholm Sections of Strong Polyfold Bundles -- 2.4. Gluings and Anti-Gluings -- 2.5. Implanting Gluings and Anti-gluings into a Manifold -- 2.6. More Sc-smoothness Results. -- Chapter 3. The Polyfold Structures -- 3.1. Good Uniformizing Families of Stable Curves -- 3.2. Compatibility of Good Uniformizers -- 3.3. Compactness Properties of (\cg,\cg') -- 3.4. The Topology on -- 3.5. The Polyfold Structure on the Space -- 3.6. The Polyfold Structure of the Bundle → -- Chapter 4. The Nonlinear Cauchy-Riemann Operator -- 4.1. Fredholm Sections of Strong Polyfold Bundles -- 4.2. The Cauchy-Riemann Section: Results -- 4.3. Some Technical Results -- 4.4. Regularization and Sc-Smoothness of \ov{∂}_{ } -- 4.5. The Filled Section, Proof of Proposition 4.8 -- 4.6. Proofs of Proposition 4.23 and Proposition 4.25 -- Chapter 5. Appendices -- 5.1. Proof of Theorem 2.56 -- 5.2. Proof of Lemma 3.4 -- 5.3. Linearization of the CR-Operator -- 5.4. Consequences of Elliptic Regularity -- 5.5. Proof of Proposition 4.11 -- 5.6. Banach Algebra Properties -- 5.7. Proof of Proposition 4.12 -- 5.8. Proof of Proposition 4.16 -- 5.9. Proof of Lemma 4.19 -- 5.10. Orientations for Sc-Fredholm Sections -- 5.11. The Canonical Orientation in Gromov-Witten Theory -- Bibliography -- Index -- Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | 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. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Symplectic geometry. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Wysocki, K. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Zehnder, E. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Hofer, H. |
| Title | Applications of Polyfold Theory I: The Polyfolds of Gromov-Witten Theory |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2017 |
| International Standard Book Number | 9781470422035 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4940246">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4940246</a> |
| Public note | Click to View |
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