MARC details
| 000 -LEADER |
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| fixed length control field |
02434nam a22002657a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250508124731.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
250421b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780691025971 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| Language of cataloging |
English |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
23rd |
| Classification number |
516.36 |
| Item number |
M847 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Morgan, John W. |
| Relator term |
author |
| 245 10 - TITLE STATEMENT |
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| Title |
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds/ |
| Statement of responsibility, etc |
John W. Morgan |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Princeton, N.J.: |
| Name of publisher, distributor, etc |
Princeton University Press, |
| Date of publication, distribution, etc |
1996 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
vi, 128 pages; |
| Dimensions |
23 cm. |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Mathematical Notes |
| Volume number/sequential designation |
44 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliography |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Introduction -- Clifford Algebras and Spin Groups -- Spin Bundles and the Dirac Operator -- The Seiberg-Witten Moduli Space -- Curvature Identities and Bounds -- The Seiberg-Witten Invariant -- Invariants of Kähler Surfaces |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU(2)-invariants defined over fifteen years ago by Donaldson. On a practical level, the new invariants have proved to be more powerful and have led to a vast generalization of earlier results. This book is an introduction to the Seiberg-Witten invariants. The work begins with a review of the classical material on Spin c structures and their associated Dirac operators. Next comes a discussion of the Seiberg-Witten equations, which is set in the context of nonlinear elliptic operators on an appropriate infinite dimensional space of configurations. It is demonstrated that the space of solutions to these equations, called the Seiberg-Witten moduli space, is finite dimensional, and its dimension is then computed. In contrast to the SU(2)-case, the Seiberg-Witten moduli spaces are shown to be compact. The Seiberg-Witten invariant is then essentially the homology class in the space of configurations represented by the Seiberg-Witten moduli space. The last chapter gives a flavor for the applications of these new invariants by computing the invariants for most Kahler surfaces and then deriving some basic toological consequences for these surfaces. |
| 650 0# - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Differential Geometry |
| 650 0# - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Four-manifolds (Topology) |
| 650 0# - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Seiberg-Witten Invariants |
| 650 0# - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematical Physics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Books |
| Source of classification or shelving scheme |
Dewey Decimal Classification |
