Vector bundles and their applications:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer
1998
|
| Series: | Mathematics and its applications
447 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 254 S. |
| ISBN: | 0792351541 |
Staff View
MARC
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Record in the Search Index
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| adam_text | VECTOR BUNDLES AND THEIR APPLICATIONS BY GLENYS LUKE ST. HUGH S COLLEGE,
OXFORD UNIVERSITY, OXFORD, U.K. AND ALEXANDER S. MISHCHENKO DEPARTMENT
OF MATHEMATICS, MOSCOW STATE UNIVERSITY, MOSCOW, RUSSIA KLUWER ACADEMIC
PUBLISHERS DORDRECHT / BOSTON / LONDON CONTENTS PREFACE VLL INTRODUCTION
TO THE LOCALLY TRIVIAL BUNDLES THEORY L 1.1 LOCALLY TRIVIAL BUNDLES 1
1.2 THE STRUCTURE GROUPS OF THE LOCALLY TRIVIAL BUNDLES 9 1.3 VECTOR
BUNDLES 21 1.4 LINEAR TRANSFORMATIONS OF BUNDLES 34 1.5 VECTOR BUNDLES
RELATED TO MANIFOLDS 45 1.6 LINEAR GROUPS AND RELATED BUNDLES 64
HOMOTOPY INVARIANTS OF VECTOR BUNDLES 73 2.1 THE CLASSIFICATION THEOREMS
73 2.-2 EXACT HOMOTOPY SEQUENCE 77 2.3 CONSTRUCTIONS OF THE
CLASSIFYING SPACES 91 2.4 CHARACTERISTIC CLASSES 99 2.5 GEOMETRIC
INTERPRETATION OF SOME CHARACTERISTIC CLASSES 120 2.6 A -THEORY AND THE
CHERN CHARACTER 126 GEOMETRIC CONSTRUCTIONS OF BUNDLES 137 3.1 THE
DIFFERENCE CONSTRUCTION 137 3.2 BOTT PERIODICITY ~ 147 3.3 PERIODIC K
-THEORY 150 3.4 LINEAR REPRESENTATIONS AND BUNDLES 153 3.5 EQUIVARIANT
BUNDLES 157 VI VECTOR BUNDLES AND THEIR APPLICATIONS 3.6 RELATIONS
BETWEEN COMPLEX, SYMPLECTIC AND REAL BUNDLES 160 4 CALCULATION METHODS
IN A-THEORY 169 4.1 SPECTRAL SEQUENCES 169 4.2 OPERATIONS IN A -THEORY
179 4.3 THE THORN ISOMORPHISM AND DIRECT IMAGE 185 4.4 THE RIEMANN-ROCH
THEOREM 189 5 ELLIPTIC OPERATORS ON SMOOTH MANIFOLDS AND A-THEORY 195
5.1 SYMBOLS OF PSEUDODIFFERENTIAL OPERATORS 195 5.2 FREDHOLM OPERATORS
200 5.3 THE SOBOLEV NORMS 206 5.4 THE ATIYAH-SINGER FORMULA FOR THE
INDEX OF AN ELLIPTIC OP- ERATOR 210 6 SOME APPLICATIONS OF VECTOR BUNDLE
THEORY 215 6.1 SIGNATURES OF MANIFOLDS 215 6.2 C* -ALGEBRAS AND
A -THEORY 223 6.3 FAMILIES OF ELLIPTIC OPERATORS 231 6.4 FREDHOLM
REPRESENTATIONS AND ASYMPTOTIC REPRESENTATIONS OF DISCRETE GROUPS 236
6.5 CONCLUSION 240 INDEX 247 REFERENCES 251
|
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| format | Book |
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| id | DE-604.BV012372687 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:26:26Z |
| institution | BVB |
| isbn | 0792351541 |
| language | English |
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| physical | VIII, 254 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Luke, Glenys Verfasser aut Vector bundles and their applications by Glenys Luke and Alexander S. Mishchenko Dordrecht [u.a.] Kluwer 1998 VIII, 254 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 447 Vektorraumbündel Vector bundles Vektorraumbündel (DE-588)4187470-5 gnd rswk-swf Vektorraumbündel (DE-588)4187470-5 s DE-604 Miščenko, Aleksandr S. Verfasser aut Mathematics and its applications 447 (DE-604)BV008163334 447 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008391090&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Luke, Glenys Miščenko, Aleksandr S. Vector bundles and their applications Mathematics and its applications Vektorraumbündel Vector bundles Vektorraumbündel (DE-588)4187470-5 gnd |
| subject_GND | (DE-588)4187470-5 |
| title | Vector bundles and their applications |
| title_auth | Vector bundles and their applications |
| title_exact_search | Vector bundles and their applications |
| title_full | Vector bundles and their applications by Glenys Luke and Alexander S. Mishchenko |
| title_fullStr | Vector bundles and their applications by Glenys Luke and Alexander S. Mishchenko |
| title_full_unstemmed | Vector bundles and their applications by Glenys Luke and Alexander S. Mishchenko |
| title_short | Vector bundles and their applications |
| title_sort | vector bundles and their applications |
| topic | Vektorraumbündel Vector bundles Vektorraumbündel (DE-588)4187470-5 gnd |
| topic_facet | Vektorraumbündel Vector bundles |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008391090&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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