The Seiberg-Witten equations and applications to the topology of smooth four-manifolds:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Princeton, NJ
Princeton Univ. Press
1996
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| Series: | Mathematical notes
44 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 128 S. |
| ISBN: | 0691025975 |
Staff View
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Record in the Search Index
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| adam_text | THE SEIBERG-WITTEN EQUATIONS AND APPLICATIONS TO THE TOPOLOGY OF SMOOTH
FOUR-MANIFOLDS BY JOHN W. MORGAN MATHEMATICAL NOTES 44 PRINCETON
UNIVERSITY PRESS PRINCETON, NEW JERSEY 1996 CONTENTS 1 INTRODUCTION 1 2
CLIFFORD ALGEBRAS AND SPIN GROUPS 5 2.1 THE CLIFFORD ALGEBRAS 5 2.2 THE
GROUPS PIN(V) AND SPIN(V) 9 2.3 SPLITTING OF THE CLIFFORD ALGEBRA 13 2.4
THE COMPLEXIFICATION OF THE CL{V) 16 2.5 THE COMPLEX SPIN REPRESENTATION
19 2.6 THE GROUP SPIN C (V) 20 3 SPIN BUNDLES AND THE DIRAC OPERATOR 23
3.1 SPIN BUNDLES AND CLIFFORD BUNDLES 23 3.2 CONNECTIONS AND CURVATURE
28 3.3 THE DIRAC OPERATOR 40 3.4 THE CASE OF COMPLEX MANIFOLDS 48 4 THE
SEIBERG-WITTEN MODULI SPACE 55 4.1 THE EQUATIONS 55 4.2 SPACE OF
CONFIGURATIONS 57 4.3 GROUP OF CHANGES OF GAUGE 59 4.4 THE ACTION 59 4.5
THE QUOTIENT SPACE 60 4.6 THE ELLIPTIC COMPLEX 65 5 CURVATURE IDENTITIES
AND BOUNDS 69 5.1 CURVATURE IDENTITIES 70 5.2 A PRIORI BOUNDS 77 5.3 THE
COMPACTNESS OF THE MODULI SPACE 80 VI CONTENTS 6 THE SEIBERG-WITTEN
INVARIANT 87 6.1 THE STATEMENT 87 6.2 THE PARAMETRIZED MODULI SPACE 88
6.3 REDUCIBLE SOLUTIONS 91 6.4 COMPACTNESS OF THE PERTURBED MODULI SPACE
92 6.5 VARIATION OF THE METRIC AND SELF-DUAL TWO-FORM 94 6.6
ORIENTABILITY OF THE MODULI SPACE 95 6.7 THE CASE WHEN B$(X) 1 99 6.8
AN INVOLUTION IN THE THEORY 100 6.9 THE CASE WHEN B${X) = 1 104 7
INVARIANTS OF KAHLER SURFACES 109 7.1 THE EQUATIONS OVER A KAHLER
MANIFOLD 109 7.2 HOLOMORPHIC DESCRIPTION OF THE MODULI SPACE 112 7.3
EVALUATION FOR KAHLER SURFACES 118 7.4 COMPUTATION FOR KAHLER SURFACES
122 7.5 FINAL REMARKS 126 BIBLIOGRAPHY 127
|
| any_adam_object | 1 |
| author | Morgan, John W. 1946- |
| author_GND | (DE-588)129352446 |
| author_facet | Morgan, John W. 1946- |
| author_role | aut |
| author_sort | Morgan, John W. 1946- |
| author_variant | j w m jw jwm |
| building | Verbundindex |
| bvnumber | BV010715095 |
| classification_rvk | SI 870 SK 350 SK 370 |
| classification_tum | MAT 587f MAT 572f |
| ctrlnum | (OCoLC)231662843 (DE-599)BVBBV010715095 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010715095 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:57:42Z |
| institution | BVB |
| isbn | 0691025975 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007154830 |
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| owner_facet | DE-12 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-703 DE-384 DE-29T DE-19 DE-BY-UBM DE-824 DE-11 |
| physical | VI, 128 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Princeton Univ. Press |
| record_format | marc |
| series | Mathematical notes |
| series2 | Mathematical notes |
| spelling | Morgan, John W. 1946- Verfasser (DE-588)129352446 aut The Seiberg-Witten equations and applications to the topology of smooth four-manifolds by John W. Morgan Princeton, NJ Princeton Univ. Press 1996 VI, 128 S. txt rdacontent n rdamedia nc rdacarrier Mathematical notes 44 Dimension 4 (DE-588)4338676-3 gnd rswk-swf Seiberg-Witten-Invariante (DE-588)4430370-1 gnd rswk-swf Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd rswk-swf Topologische Mannigfaltigkeit (DE-588)4185712-4 s Dimension 4 (DE-588)4338676-3 s DE-604 Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 s Mathematische Physik (DE-588)4037952-8 s Seiberg-Witten-Invariante (DE-588)4430370-1 s Mathematical notes 44 (DE-604)BV000003793 44 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007154830&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Morgan, John W. 1946- The Seiberg-Witten equations and applications to the topology of smooth four-manifolds Mathematical notes Dimension 4 (DE-588)4338676-3 gnd Seiberg-Witten-Invariante (DE-588)4430370-1 gnd Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd Mathematische Physik (DE-588)4037952-8 gnd Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd |
| subject_GND | (DE-588)4338676-3 (DE-588)4430370-1 (DE-588)4185712-4 (DE-588)4037952-8 (DE-588)4012269-4 |
| title | The Seiberg-Witten equations and applications to the topology of smooth four-manifolds |
| title_auth | The Seiberg-Witten equations and applications to the topology of smooth four-manifolds |
| title_exact_search | The Seiberg-Witten equations and applications to the topology of smooth four-manifolds |
| title_full | The Seiberg-Witten equations and applications to the topology of smooth four-manifolds by John W. Morgan |
| title_fullStr | The Seiberg-Witten equations and applications to the topology of smooth four-manifolds by John W. Morgan |
| title_full_unstemmed | The Seiberg-Witten equations and applications to the topology of smooth four-manifolds by John W. Morgan |
| title_short | The Seiberg-Witten equations and applications to the topology of smooth four-manifolds |
| title_sort | the seiberg witten equations and applications to the topology of smooth four manifolds |
| topic | Dimension 4 (DE-588)4338676-3 gnd Seiberg-Witten-Invariante (DE-588)4430370-1 gnd Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd Mathematische Physik (DE-588)4037952-8 gnd Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd |
| topic_facet | Dimension 4 Seiberg-Witten-Invariante Topologische Mannigfaltigkeit Mathematische Physik Differenzierbare Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007154830&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003793 |
| work_keys_str_mv | AT morganjohnw theseibergwittenequationsandapplicationstothetopologyofsmoothfourmanifolds |