Conjugacy classes in gauge groups:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Kingston
Queen's Univ.
1998
|
| Schriftenreihe: | Queen's papers in pure and applied mathematics
111 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 138 S. |
| ISBN: | 0889118264 |
Internformat
MARC
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| 100 | 1 | |a Piccinini, Renzo A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Conjugacy classes in gauge groups |c Renzo A. Piccinini and Mauro Spreafico |
| 264 | 1 | |a Kingston |b Queen's Univ. |c 1998 | |
| 300 | |a 138 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Queen's papers in pure and applied mathematics |v 111 | |
| 650 | 4 | |a Classe caractéristique | |
| 650 | 4 | |a Classe conjugaison | |
| 650 | 4 | |a Espace classifiant | |
| 650 | 4 | |a Fibré principal | |
| 650 | 4 | |a Groupe jauge | |
| 650 | 4 | |a Homotopie | |
| 650 | 7 | |a Topologie algébrique |2 ram | |
| 650 | 4 | |a Conjugacy classes | |
| 650 | 4 | |a Gauge fields (Physics) | |
| 650 | 4 | |a Geometry, Differential | |
| 650 | 0 | 7 | |a Konjugiertenklasse |0 (DE-588)4338166-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gruppe |g Mathematik |0 (DE-588)4022379-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Eichtransformation |0 (DE-588)4122126-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Eichtransformation |0 (DE-588)4122126-6 |D s |
| 689 | 0 | 1 | |a Gruppe |g Mathematik |0 (DE-588)4022379-6 |D s |
| 689 | 0 | 2 | |a Konjugiertenklasse |0 (DE-588)4338166-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Spreafico, Mauro |e Verfasser |4 aut | |
| 830 | 0 | |a Queen's papers in pure and applied mathematics |v 111 |w (DE-604)BV001889470 |9 111 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-008399658 | ||
Datensatz im Suchindex
| _version_ | 1804127015723335680 |
|---|---|
| adam_text | Contents
1 Preliminaries 9
1.1 The category wHk(Top) 10
1.2 Relations, actions and quotients 13
1.2.1 The category TopG 14
1.2.2 Equivariant cofibrations 17
1.2.3 The category TopH n TopG 19
1.3 Bundles 22
1.3.1 The category BunG 24
1.3.2 Homotopy classification of principal G bundles 26
1.3.3 Equivariant bundles 27
2 Gauge Groups 35
2.1 Gauge Groups 35
2.2 The topology of gauge groups 40
2.3 The classifying space of Q{Q 49
3 Conjugation 51
3.1 Conjugation in the local gauge group 51
3.2 Isomorphism and Conjugacy 58
4 Conjugacy classes of vector bundles 61
4.1 Characteristic Classes 61
4.1.1 Complex vector bundles 62
4.1.2 Real vector bundles 68
4.2 Isotropy group 73
4.2.1 Isotropy and stable equivalence 74
4.2.2 Vector bundles on real projective spaces 78
3
4 CONTENTS
5 Homotopy and fundamental equivalence 87
5.1 Introductory material 87
5.2 Conjugacy classes of gauge groups 89
5.3 Fundamental action and classifying spaces 92
5.4 An exact sequence 94
5.5 The isotropy of the fundamental action 97
A The Milgram Steenrod classifying space 99
A.I Enlargement of actions and contractions 100
A.2 Enlargements 104
A.3 The construction of the classifying space 109
A.4 Inclusions, preclusions, cofibrations 115
A.5 The group structure of EG 118
A.6 The functors £ and B: algebraic properties 123
A.6.1 Exactness 123
A.6.2 Group theoretical invariants of £ 125
A.6.3 Actions of classifying spaces and quotients 127
A.7 The functors £, B and principal bundles 130
|
| any_adam_object | 1 |
| author | Piccinini, Renzo A. Spreafico, Mauro |
| author_facet | Piccinini, Renzo A. Spreafico, Mauro |
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| building | Verbundindex |
| bvnumber | BV012382909 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 380 |
| ctrlnum | (OCoLC)40676986 (DE-599)BVBBV012382909 |
| dewey-full | 510 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 512 - Algebra |
| dewey-raw | 510 512/.2 |
| dewey-search | 510 512/.2 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV012382909 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:26:38Z |
| institution | BVB |
| isbn | 0889118264 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008399658 |
| oclc_num | 40676986 |
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| owner | DE-355 DE-BY-UBR DE-703 |
| owner_facet | DE-355 DE-BY-UBR DE-703 |
| physical | 138 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Queen's Univ. |
| record_format | marc |
| series | Queen's papers in pure and applied mathematics |
| series2 | Queen's papers in pure and applied mathematics |
| spelling | Piccinini, Renzo A. Verfasser aut Conjugacy classes in gauge groups Renzo A. Piccinini and Mauro Spreafico Kingston Queen's Univ. 1998 138 S. txt rdacontent n rdamedia nc rdacarrier Queen's papers in pure and applied mathematics 111 Classe caractéristique Classe conjugaison Espace classifiant Fibré principal Groupe jauge Homotopie Topologie algébrique ram Conjugacy classes Gauge fields (Physics) Geometry, Differential Konjugiertenklasse (DE-588)4338166-2 gnd rswk-swf Gruppe Mathematik (DE-588)4022379-6 gnd rswk-swf Eichtransformation (DE-588)4122126-6 gnd rswk-swf Eichtransformation (DE-588)4122126-6 s Gruppe Mathematik (DE-588)4022379-6 s Konjugiertenklasse (DE-588)4338166-2 s DE-604 Spreafico, Mauro Verfasser aut Queen's papers in pure and applied mathematics 111 (DE-604)BV001889470 111 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008399658&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Piccinini, Renzo A. Spreafico, Mauro Conjugacy classes in gauge groups Queen's papers in pure and applied mathematics Classe caractéristique Classe conjugaison Espace classifiant Fibré principal Groupe jauge Homotopie Topologie algébrique ram Conjugacy classes Gauge fields (Physics) Geometry, Differential Konjugiertenklasse (DE-588)4338166-2 gnd Gruppe Mathematik (DE-588)4022379-6 gnd Eichtransformation (DE-588)4122126-6 gnd |
| subject_GND | (DE-588)4338166-2 (DE-588)4022379-6 (DE-588)4122126-6 |
| title | Conjugacy classes in gauge groups |
| title_auth | Conjugacy classes in gauge groups |
| title_exact_search | Conjugacy classes in gauge groups |
| title_full | Conjugacy classes in gauge groups Renzo A. Piccinini and Mauro Spreafico |
| title_fullStr | Conjugacy classes in gauge groups Renzo A. Piccinini and Mauro Spreafico |
| title_full_unstemmed | Conjugacy classes in gauge groups Renzo A. Piccinini and Mauro Spreafico |
| title_short | Conjugacy classes in gauge groups |
| title_sort | conjugacy classes in gauge groups |
| topic | Classe caractéristique Classe conjugaison Espace classifiant Fibré principal Groupe jauge Homotopie Topologie algébrique ram Conjugacy classes Gauge fields (Physics) Geometry, Differential Konjugiertenklasse (DE-588)4338166-2 gnd Gruppe Mathematik (DE-588)4022379-6 gnd Eichtransformation (DE-588)4122126-6 gnd |
| topic_facet | Classe caractéristique Classe conjugaison Espace classifiant Fibré principal Groupe jauge Homotopie Topologie algébrique Conjugacy classes Gauge fields (Physics) Geometry, Differential Konjugiertenklasse Gruppe Mathematik Eichtransformation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008399658&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001889470 |
| work_keys_str_mv | AT piccininirenzoa conjugacyclassesingaugegroups AT spreaficomauro conjugacyclassesingaugegroups |