Floer homology groups in Yang-Mills theory / (Record no. 518319)
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| fixed length control field | 03828nam a22003978i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511543098 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160239.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
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| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090505s2002||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511543098 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521808033 (hardback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QC174.52.Y37 |
| Item number | D66 2002 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.14/35 |
| Edition number | 21 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Donaldson, S. K., |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Floer homology groups in Yang-Mills theory / |
| Statement of responsibility, etc | S.K. Donaldson with the assistance of M. Furuta and D. Kotschick. |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2002. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (vii, 236 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | Cambridge tracts in mathematics ; |
| Volume number/sequential designation | 147 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | Yang-Mills theory over compact manifolds -- |
| -- | The case of a compact 4-manifold -- |
| -- | Technical results -- |
| -- | Manifolds with tubular ends -- |
| -- | Yang-Mills theory and 3-manifolds -- |
| -- | Initial discussion -- |
| -- | The Chern-Simons functional -- |
| -- | The instanton equation -- |
| -- | Linear operators -- |
| -- | Appendix A: local models -- |
| -- | Appendix B: pseudo-holomorphic maps -- |
| -- | Appendix C: relations with mechanics -- |
| -- | Linear analysis -- |
| -- | Separation of variables -- |
| -- | Sobolev spaces on tubes -- |
| -- | Remarks on other operators -- |
| -- | The addition property -- |
| -- | Weighted spaces -- |
| -- | Floer's grading function; relation with the Atiyah, Patodi, Singer theory -- |
| -- | Refinement of weighted theory -- |
| -- | L[superscript p] theory -- |
| -- | Gauge theory and tubular ends -- |
| -- | Exponential decay -- |
| -- | Moduli theory -- |
| -- | Moduli theory and weighted spaces -- |
| -- | Gluing instantons -- |
| -- | Gluing in the reducible case -- |
| -- | Appendix A: further analytical results -- |
| -- | Convergence in the general case -- |
| -- | Gluing in the Morse--Bott case -- |
| -- | The Floer homology groups -- |
| -- | Compactness properties -- |
| -- | Floer's instanton homology groups -- |
| -- | Independence of metric -- |
| -- | Orientations -- |
| -- | Deforming the equations -- |
| -- | Transversality arguments -- |
| -- | U(2) and SO(3) connections -- |
| -- | Floer homology and 4-manifold invariants -- |
| -- | The conceptual picture -- |
| -- | The straightforward case -- |
| -- | Review of invariants for closed 4-manifolds -- |
| -- | Invariants for manifolds with boundary and b[superscript +]] 1 -- |
| -- | Reducible connections and cup products -- |
| -- | The maps D[subscript 1], D[subscript 2] -- |
| -- | Manifolds with b[superscript +] = 0, 1 -- |
| -- | The case b[superscript +] = 1. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The concept of Floer homology was one of the most striking developments in differential geometry. It yields rigorously defined invariants which can be viewed as homology groups of infinite-dimensional cycles. The ideas led to great advances in the areas of low-dimensional topology and symplectic geometry and are intimately related to developments in Quantum Field Theory. The first half of this book gives a thorough account of Floer's construction in the context of gauge theory over 3 and 4-dimensional manifolds. The second half works out some further technical developments of the theory, and the final chapter outlines some research developments for the future - including a discussion of the appearance of modular forms in the theory. The scope of the material in this book means that it will appeal to graduate students as well as those on the frontiers of the subject. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Yang-Mills theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Floer homology. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Geometry, Differential. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Furuta, M., |
| Relator term | author. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Kotschick, D., |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521808033 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Cambridge tracts in mathematics ; |
| Volume number/sequential designation | 147. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511543098">https://doi.org/10.1017/CBO9780511543098</a> |
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