Verfügbarkeit: Relative index theory, determinants and torsion for open manifolds

Relative index theory, determinants and torsion for open manifolds:

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Bibliographische Detailangaben
Beteilige Person:	Eichhorn, Jürgen 1942- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Singapore u.a. World Scientific Publishing 2009
Schlagwörter:	Determinante Torsionstheorie Mannigfaltigkeit Indextheorie
Links:	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
Umfang:	X, 341 S.
ISBN:	9812771441 9789812771445

Internformat

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Datensatz im Suchindex

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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
any_adam_object	1
author	Eichhorn, Jürgen 1942-
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author_facet	Eichhorn, Jürgen 1942-
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bvnumber	BV035539102
classification_rvk	SK 350 SK 370
ctrlnum	(OCoLC)551723600 (DE-599)BVBBV035539102
discipline	Mathematik
format	Book
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id	DE-604.BV035539102
illustrated	Not Illustrated
indexdate	2024-12-20T13:37:22Z
institution	BVB
isbn	9812771441 9789812771445
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-017595188
oclc_num	551723600
open_access_boolean
owner	DE-355 DE-BY-UBR DE-20 DE-19 DE-BY-UBM DE-384 DE-29T
owner_facet	DE-355 DE-BY-UBR DE-20 DE-19 DE-BY-UBM DE-384 DE-29T
physical	X, 341 S.
publishDate	2009
publishDateSearch	2009
publishDateSort	2009
publisher	World Scientific Publishing
record_format	marc
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
work_keys_str_mv	AT eichhornjurgen relativeindextheorydeterminantsandtorsionforopenmanifolds

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