Yang-Mills measure on compact surfaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2003
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| Schriftenreihe: | Memoirs of the American Mathematical Society
790 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 166, number 790 (end of volume)." |
| Beschreibung: | XIII, 122 S. graph. Darst. |
| ISBN: | 0821834290 |
Internformat
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Datensatz im Suchindex
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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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| isbn | 0821834290 |
| language | English |
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| physical | XIII, 122 S. graph. Darst. |
| publishDate | 2003 |
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| series2 | Memoirs of the American Mathematical Society |
| 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 |
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| work_keys_str_mv | AT levythierry yangmillsmeasureoncompactsurfaces |