Relative index theory, determinants and torsion for open manifolds:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore u.a.
World Scientific Publishing
2009
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 341 S. |
| ISBN: | 9812771441 9789812771445 |
Staff View
MARC
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| 100 | 1 | |a Eichhorn, Jürgen |d 1942- |e Verfasser |0 (DE-588)1049961633 |4 aut | |
| 245 | 1 | 0 | |a Relative index theory, determinants and torsion for open manifolds |c Jürgen Eichhorn |
| 264 | 1 | |a Singapore u.a. |b World Scientific Publishing |c 2009 | |
| 300 | |a X, 341 S. | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
Introduction
.....................................................
vii
I Absolute invariants for open manifolds
and bundles
........................................................ 1
1
Absolute characteristic numbers
............................... 4
2
Index theorems for open manifolds
........................... 46
II Non-linear Sobolev structures
......................... 62
1
Clifford bundles, generalized Dirac operators
and associated Sobolev spaces
................................... 63
2
Uniform structures of metric spaces
.......................... 89
3
Completed manifolds of maps
............................... 121
4
Uniform structures of manifolds and Clifford bundles
.. 124
5
The classification problem, new (co-)homologies and
relative characteristic numbers
................................ 141
III The heat kernel of generalized Dirac
operators
......................................................... 169
1
Invariance
properties of the spectrum and the
heat kernel
......................................................... 169
2
Duhamel s principle, scattering theory and trace class
conditions
.......................................................... 180
IV Trace class properties
................................... 192
1
Variation of the Clifford connection
........................ 192
2
Variation of the Clifford structure
.......................... 203
3
Additional topological perturbations
....................... 223
V Relative index theory
.................................... 239
1
Relative index theorems, the spectral shift function
and the scattering index
........................................ 239
vi Relative Index
Theory, Determinants and Torsion
VI Relative
ζ—
functions,
ry—
functions,
determinants and torsion
.................................. 252
1
Pairs of asymptotic expansions
............................. 252
2
Relative ^-functions
........................................... 256
3
Relative determinants and QFT
............................ 267
4
Relative analytic torsion
...................................... 269
5
Relative ^-invariants
.......................................... 272
6
Examples and applications
................................... 277
VII
Scattering theory for manifolds with
injectivity radius zero
....................................... 299
1
Uniform structures defined by decay functions
.......... 299
2
The injectivity radius and weighted Sobolev
spaces
............................................................... 307
3
Mapping properties of e~tA
.................................. 317
4
Proof of the trace class property
............................ 322
References
....................................................... 331
List of notations
............................................... 338
Index
.............................................................. 340
|
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| id | DE-604.BV035539102 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T21:39:57Z |
| institution | BVB |
| isbn | 9812771441 9789812771445 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017595188 |
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| physical | X, 341 S. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | World Scientific Publishing |
| record_format | marc |
| spelling | Eichhorn, Jürgen 1942- Verfasser (DE-588)1049961633 aut Relative index theory, determinants and torsion for open manifolds Jürgen Eichhorn Singapore u.a. World Scientific Publishing 2009 X, 341 S. txt rdacontent n rdamedia nc rdacarrier Determinante (DE-588)4138983-9 gnd rswk-swf Torsionstheorie (DE-588)4451084-6 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Indextheorie (DE-588)4161489-6 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s Indextheorie (DE-588)4161489-6 s Torsionstheorie (DE-588)4451084-6 s Determinante (DE-588)4138983-9 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017595188&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eichhorn, Jürgen 1942- Relative index theory, determinants and torsion for open manifolds Determinante (DE-588)4138983-9 gnd Torsionstheorie (DE-588)4451084-6 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Indextheorie (DE-588)4161489-6 gnd |
| subject_GND | (DE-588)4138983-9 (DE-588)4451084-6 (DE-588)4037379-4 (DE-588)4161489-6 |
| title | Relative index theory, determinants and torsion for open manifolds |
| title_auth | Relative index theory, determinants and torsion for open manifolds |
| title_exact_search | Relative index theory, determinants and torsion for open manifolds |
| title_full | Relative index theory, determinants and torsion for open manifolds Jürgen Eichhorn |
| title_fullStr | Relative index theory, determinants and torsion for open manifolds Jürgen Eichhorn |
| title_full_unstemmed | Relative index theory, determinants and torsion for open manifolds Jürgen Eichhorn |
| title_short | Relative index theory, determinants and torsion for open manifolds |
| title_sort | relative index theory determinants and torsion for open manifolds |
| topic | Determinante (DE-588)4138983-9 gnd Torsionstheorie (DE-588)4451084-6 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Indextheorie (DE-588)4161489-6 gnd |
| topic_facet | Determinante Torsionstheorie Mannigfaltigkeit Indextheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017595188&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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