Verfügbarkeit: Gauge field theory and complex geometry

Gauge field theory and complex geometry:

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Bibliographische Detailangaben
Beteilige Person:	Manin, Jurij I. 1937-2023 (VerfasserIn)
Format:	Buch
Sprache:	Englisch Russisch
Veröffentlicht:	Berlin [u.a.] Springer 1997
Ausgabe:	2. ed.
Schriftenreihe:	Grundlehren der mathematischen Wissenschaften 289
Schlagwörter:	Komplexe Geometrie Mathematische Physik Riemannscher Raum Differentialgeometrie Eichtheorie Quantenfeldtheorie
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007649399&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Aus d. Russ. übers.
Umfang:	XII, 346 S.
ISBN:	3540613781

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Datensatz im Suchindex

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adam_text	TABLE OF CONTENTS Introduction. Geometrical Structures in Field Theory 1 Chapter 1. Grassmannians, Connections, and Integrability 7 § 1. Grassmannians and Flag Spaces 7 § 2. Cohomology of Flag Spaces 17 § 3. The Klein Quadric and Minkowski Space 23 § 4. Distributions and Connections 35 § 5. Integrability and Curvature 41 § 6. Conic Structures and Conic Connections 45 § 7. Grassmannian Spinors and Generalized Self Duality Equations 51 References for Chapter 1 59 Chapter 2. The Radon Penrose Transform 61 § 1. Complex Space Time 61 § 2. The Self Duality Diagram and the Radon Penrose Transform .. 72 § 3. The Theory of Instantons 81 § 4. Instantons and Modules over a Grassmannian Algebra 99 § 5. The Diagram of Null Geodesies 106 § 6. Extensions and Obstructions 113 § 7. Curvature on the Space of Null Geodesies 124 § 8. Cohomological Computations 128 § 9. The Flow of a Yang Mills Field on the Space of Null Geodesies 133 § 10. Extension Problems and Dynamical Equations 141 § 11. The Green s Function of the Laplace Operator 146 References for Chapter 2 150 Chapter 3. Introduction to Superalgebra 153 § 1. The Rule of Signs 153 § 2. The Tensor Algebra over a Supercommutative Ring 159 § 3. The Supertrace and Superdeterminant 164 § 4. Some Complexes in Superalgebra 168 § 5. Scalar Products 173 § 6. Real Structures 175 References for Chapter 3 180 Chapter 4. Introduction to Supergeometry 181 § 1. Superspaces and Supermanifolds 181 § 2. The Elementary Structure Theory of Supermanifolds 188 XII Table of Contents § 3. Supergrassmannians and Flag Superspaces 192 § 4. The Frobenius Theorem and Connections 204 § 5. Right Connections and Integral Forms 206 § 6. The Berezin Integral 213 § 7. Densities 216 § 8. The Stokes Formula and the Cohomology of Integral Forms ... 220 § 9. Supermanifolds with Distinguished Volume Form. Pseudodifferential and Pseudointegral Forms 222 § 10. Lie Superalgebras of Vector Fields and Finite dimensional Simple Lie Superalgebras 225 References for Chapter 4 232 Chapter 5. Geometric Structures of Supersymmetry and Gravitation .. 233 § 1. Supertwistors and Minkowski Superspace 233 § 2. Scalar Superfields and Component Analysis 241 § 3. Yang Mills Fields and Integrability Equations along Light Supergeodesics 243 § 4. Monads on Superspaces and YM sheaves 253 § 5. Some Coordinate Computations 263 § 6. Flag Superspaces of Classical Type and Exotic Minkowski Superspaces 267 § 7. The Geometry of Simple Supergravity 277 References for Chapter 5 286 Bibliography 287 Recent Developments (by Sergei A. Merkulov) 297 Chapter A. New Developments in Twistor Theory 299 Chapter B. Geometry on Supermanifolds 329 Notes 338 Bibliography 339 Index 345
any_adam_object	1
author	Manin, Jurij I. 1937-2023
author_GND	(DE-588)121177580
author_facet	Manin, Jurij I. 1937-2023
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author_sort	Manin, Jurij I. 1937-2023
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ctrlnum	(OCoLC)605303190 (DE-599)BVBBV011382072
discipline	Physik Mathematik
edition	2. ed.
format	Book
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id	DE-604.BV011382072
illustrated	Not Illustrated
indexdate	2024-12-20T10:11:25Z
institution	BVB
isbn	3540613781
language	English Russian
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-007649399
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open_access_boolean
owner	DE-384 DE-703 DE-824 DE-91G DE-BY-TUM DE-29T DE-706 DE-11 DE-188
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physical	XII, 346 S.
publishDate	1997
publishDateSearch	1997
publishDateSort	1997
publisher	Springer
record_format	marc
series	Grundlehren der mathematischen Wissenschaften
series2	Grundlehren der mathematischen Wissenschaften
spellingShingle	Manin, Jurij I. 1937-2023 Gauge field theory and complex geometry Grundlehren der mathematischen Wissenschaften Komplexe Geometrie (DE-588)4164898-5 gnd Mathematische Physik (DE-588)4037952-8 gnd Riemannscher Raum (DE-588)4128295-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd Eichtheorie (DE-588)4122125-4 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd
subject_GND	(DE-588)4164898-5 (DE-588)4037952-8 (DE-588)4128295-4 (DE-588)4012248-7 (DE-588)4122125-4 (DE-588)4047984-5
title	Gauge field theory and complex geometry
title_alt	Kalibrovocnye polja i kompleksnaja geometrija
title_auth	Gauge field theory and complex geometry
title_exact_search	Gauge field theory and complex geometry
title_full	Gauge field theory and complex geometry Yuri I. Manin
title_fullStr	Gauge field theory and complex geometry Yuri I. Manin
title_full_unstemmed	Gauge field theory and complex geometry Yuri I. Manin
title_short	Gauge field theory and complex geometry
title_sort	gauge field theory and complex geometry
topic	Komplexe Geometrie (DE-588)4164898-5 gnd Mathematische Physik (DE-588)4037952-8 gnd Riemannscher Raum (DE-588)4128295-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd Eichtheorie (DE-588)4122125-4 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd
topic_facet	Komplexe Geometrie Mathematische Physik Riemannscher Raum Differentialgeometrie Eichtheorie Quantenfeldtheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007649399&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000000395
work_keys_str_mv	AT maninjuriji kalibrovocnyepoljaikompleksnajageometrija AT maninjuriji gaugefieldtheoryandcomplexgeometry

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