Holdings: Yang-Mills measure on compact surfaces

Yang-Mills measure on compact surfaces:

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Bibliographic Details
Main Author:	Lévy, Thierry 1976- (Author)
Format:	Book
Language:	English
Published:	Providence, R.I. American Mathematical Society 2003
Series:	Memoirs of the American Mathematical Society 790
Subjects:	Quantenfeldtheorie Yang-Mills-Theorie
Online Access:	Inhaltsverzeichnis
Item Description:	"Volume 166, number 790 (end of volume)."
Physical Description:	XIII, 122 S. graph. Darst.
ISBN:	0821834290

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adam_text	OF THE AMERICAN MATHEMATICAL SOCIETY NUMBER 790 YANG-MILLS MEASURE ON COMPACT SURFACES THIERRY LEVY NOVEMBER 2003 * VOLUME 166 * NUMBER 790 (END OF VOLUME) * ISSN 0065-9266 AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND CONTENTS INTRODUCTION VII CHAPTER 1. DISCRETE YANG-MILLS MEASURE 1 1.1. NOTATION 1 1.2. DISCRETIZATION OF A SURFACE 3 1.3. DISCRETE HOLONOMY AND GAUGE TRANSFORMATIONS 5 1.4. DISCRETE YANG-MILLS MEASURE 7 1.5. CONDITIONAL YANG-MILLS MEASURE 8 1.6. INVARIANCE UNDER SUBDIVISION 13 1.7. INVARIANCE UNDER AREA-PRESERVING DIFFEOMORPHISMS 16 1.8. TWO EXAMPLES 17 1.9. DISCRETE ABELIAN THEORY 20 CHAPTER 2. CONTINUOUS YANG-MILLS MEASURE 35 2.1. PROJECTIVE SYSTEMS OF PROBABILITY SPACES 35 2.2. A RIEMANNIAN METRIC 37 2.3. PIECEWISE GEODESIC YANG-MILLS MEASURE 39 2.4. LASSOS AND SMALL PIECEWISE GEODESIC LOOPS 41 2.5. THE SPACE OF PATHS 45 2.6. DEFINITION OF THE RANDOM HOLONOMY 51 2.7. CONSISTENCY WITH THE DISCRETE THEORY 57 2.8. BINDING UP THE CONDITIONAL VERSIONS 61 2.9. SURFACES WITH BOUNDARY 62 2.10. THE RANDOM HOLONOMY PROCESS 65 CHAPTER 3. ABELIAN GAUGE THEORY 75 3.1. THE RANDOM HOLONOMY AS A WHITE NOISE FUNCTIONAL 75 3.2. SMALL SCALE STRUCTURE OF THE YANG-MILLS FIELD 79 CHAPTER 4. SMALL SCALE STRUCTURE IN THE SEMI-SIMPLE CASE 85 4.1. ASYMPTOTIC INDEPENDENCE: A ZERO-ONE LAW 86 4.2. ASYMPTOTIC INDEPENDENCE ON THE PLANE 94 CHAPTER 5. SURGERY OF THE YANG-MILLS MEASURE 99 5.1. MARKOV PROPERTY OF THE YANG-MILLS FIELD 99 5.2. SEWING TWO SURFACES 102 5.3. MENDING A SURFACE 109 5.4. AN AREA-DEPENDENT TOPOLOGICAL FIELD THEORY 115 A BIBLIOGRAPHY 121
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spelling	Lévy, Thierry 1976- Verfasser (DE-588)141841109 aut Yang-Mills measure on compact surfaces Thierry Lévy Providence, R.I. American Mathematical Society 2003 XIII, 122 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 790 "Volume 166, number 790 (end of volume)." Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Yang-Mills-Theorie (DE-588)4190409-6 gnd rswk-swf Yang-Mills-Theorie (DE-588)4190409-6 s Quantenfeldtheorie (DE-588)4047984-5 s DE-604 Memoirs of the American Mathematical Society 790 (DE-604)BV008000141 790 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010467253&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Lévy, Thierry 1976- Yang-Mills measure on compact surfaces Memoirs of the American Mathematical Society Quantenfeldtheorie (DE-588)4047984-5 gnd Yang-Mills-Theorie (DE-588)4190409-6 gnd
subject_GND	(DE-588)4047984-5 (DE-588)4190409-6
title	Yang-Mills measure on compact surfaces
title_auth	Yang-Mills measure on compact surfaces
title_exact_search	Yang-Mills measure on compact surfaces
title_full	Yang-Mills measure on compact surfaces Thierry Lévy
title_fullStr	Yang-Mills measure on compact surfaces Thierry Lévy
title_full_unstemmed	Yang-Mills measure on compact surfaces Thierry Lévy
title_short	Yang-Mills measure on compact surfaces
title_sort	yang mills measure on compact surfaces
topic	Quantenfeldtheorie (DE-588)4047984-5 gnd Yang-Mills-Theorie (DE-588)4190409-6 gnd
topic_facet	Quantenfeldtheorie Yang-Mills-Theorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010467253&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV008000141
work_keys_str_mv	AT levythierry yangmillsmeasureoncompactsurfaces

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