Diffeomorphisms and noncommutative analytic torsion:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
AMS
1999
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
673 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 141, number 673 (third of 4 numbers)." |
| Beschreibung: | VIII, 56 S. |
| ISBN: | 0821811894 |
Internformat
MARC
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| 300 | |a VIII, 56 S. | ||
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 673 | |
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| 650 | 7 | |a Diffeomorfismen |2 gtt | |
| 650 | 7 | |a Grupos de lie |2 larpcal | |
| 650 | 7 | |a Manifolds |2 gtt | |
| 650 | 4 | |a Diffeomorphisms | |
| 650 | 4 | |a Index theorems | |
| 650 | 4 | |a Noncommutative differential geometry | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-008731493 | ||
Datensatz im Suchindex
| _version_ | 1804127511103143936 |
|---|---|
| adam_text | Contents
1. Introduction 1
2. Noncommutative Bundle Theory 5
2.1. Noncommutative Differential Forms 5
2.2. Noncommutative Connections and Chern Character 7
2.3. Chern Simons Classes of Partially Flat Connections 10
3. Groups and Covering Spaces 11
3.1. Cyclic Cohomology of Group Algebras 11
3.2. Noncommutative Geometry of Covering Spaces 12
4. 93 Hermitian Metrics and Characteristic Classes 16
4.1. 8 Hermit ian Metrics 16
4.2. 8 Hermitian Metrics. Group Algebras and Assembly Maps 10
5. Noncommutative Superconnections 23
5.1. Partially Flat Superconnections 23
5.2. A Finite Dimensional Index Theorem 29
5.3. The Analytic Torsion Form 35
6. Fiber Bundles 38
6.1. 35 Pseudodifferential Calculus 38
6.2. Induced Superconnections 41
6.3. Small Time Limits 44
6.4. Index Theorems 48
6.5. The Analytic Torsion Form II 49
7. Diffeomorphism Groups 51
7.1. Free Abelian Fundamental Groups 51
7.2. General Fundamental Groups 53
References 55
|
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| discipline | Mathematik |
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| id | DE-604.BV012833054 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:34:30Z |
| institution | BVB |
| isbn | 0821811894 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008731493 |
| oclc_num | 41315404 |
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| physical | VIII, 56 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | AMS |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Lott, John 1959- Verfasser (DE-588)1146225539 aut Diffeomorphisms and noncommutative analytic torsion John Lott Providence, RI AMS 1999 VIII, 56 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 673 "Volume 141, number 673 (third of 4 numbers)." Diffeomorfismen gtt Grupos de lie larpcal Manifolds gtt Diffeomorphisms Index theorems Noncommutative differential geometry American Mathematical Society: Memoirs of the American Mathematical Society 673 (DE-604)BV008000141 673 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008731493&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lott, John 1959- Diffeomorphisms and noncommutative analytic torsion American Mathematical Society: Memoirs of the American Mathematical Society Diffeomorfismen gtt Grupos de lie larpcal Manifolds gtt Diffeomorphisms Index theorems Noncommutative differential geometry |
| title | Diffeomorphisms and noncommutative analytic torsion |
| title_auth | Diffeomorphisms and noncommutative analytic torsion |
| title_exact_search | Diffeomorphisms and noncommutative analytic torsion |
| title_full | Diffeomorphisms and noncommutative analytic torsion John Lott |
| title_fullStr | Diffeomorphisms and noncommutative analytic torsion John Lott |
| title_full_unstemmed | Diffeomorphisms and noncommutative analytic torsion John Lott |
| title_short | Diffeomorphisms and noncommutative analytic torsion |
| title_sort | diffeomorphisms and noncommutative analytic torsion |
| topic | Diffeomorfismen gtt Grupos de lie larpcal Manifolds gtt Diffeomorphisms Index theorems Noncommutative differential geometry |
| topic_facet | Diffeomorfismen Grupos de lie Manifolds Diffeomorphisms Index theorems Noncommutative differential geometry |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008731493&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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