Positive Scalar Curvature and a Smooth Variation of Baas-Sullivan Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2013
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| Schlagworte: | |
| Online-Zugang: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-24467 Inhaltsverzeichnis |
| Beschreibung: | VII, 114 S. Ill., graph. Darst. |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | CONTENTS
ABSTRACT VII
1 INTRODUCTION 1
1.1 SURVEY ON POSITIVE SCALAR CURVATURE 1
1.2 OVERVIEW AND MAIN RESULTS 9
2 A SMOOTH VARIATION OF BAAS-SULLIVAN THEORY 15
2.1 INTRODUCTION 15
2.2 THE BORDISM SPANNED BY & 17
2.3 SINGULAR ^-BORDISM 24
2.4 COMPUTATION OF COEFFICIENTS 31
2.5 IDENTIFICATION OF HOMOLOGY THEORIES 35
2.6 CONCLUDING REMARKS 40
3 POSITIVE SCALAR CURVATURE ON CLOSED MANIFOLDS 41
3.1 THE SURGERY LEMMA AND ITS IMPLICATIONS 41
3.2 THE HOMOLOGY THEOREM 46
4 POSITIVE SCALAR CURVATURE ON SINGULAR ^-MANIFOLDS 55
4.1 INTRODUCTION 55
V
HTTP://D-NB.INFO/1045083429
VI CONTENTS
4.2 NON-SPIN MANIFOLDS 60
4.3 SPIN MANIFOLDS 63
4.3.1 SURVEY ON THE CLOSED CASE 63
4.3.2 SINGULAR MANIFOLDS 64
4.3.3 FIRST EXTENSION PROBLEM 72
4.3.4 SECOND EXTENSION PROBLEM 77
5 POSITIVE HOMOLOGY 81
5.1 INTRODUCTION 81
5.2 HOMOLOGY OF ELEMENTARY ABELIAN P-GROUPS 84
5.2.1 GROUPS OF RANK 2 85
5.2.2 GROUPS OF HIGHER RANK 102
5.3 CONCLUDING REMARKS 105
BIBLIOGRAPHY 107
|
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| discipline | Mathematik |
| format | Thesis Book |
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| spelling | Führing, Sven 1983- Verfasser (DE-588)1043716610 aut Positive Scalar Curvature and a Smooth Variation of Baas-Sullivan Theory vorgelegt von Sven Führing 2013 VII, 114 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Augsburg, Univ., Diss., 2013 Glatte Mannigfaltigkeit (DE-588)4157471-0 gnd rswk-swf Skalare Krümmung (DE-588)4808160-7 gnd rswk-swf Fundamentalgruppe (DE-588)4155638-0 gnd rswk-swf Singuläre Homologietheorie (DE-588)4181520-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Singuläre Homologietheorie (DE-588)4181520-8 s Skalare Krümmung (DE-588)4808160-7 s Glatte Mannigfaltigkeit (DE-588)4157471-0 s Fundamentalgruppe (DE-588)4155638-0 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:384-opus4-24467 http://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/2446 Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-24467 Resoving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026844768&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Führing, Sven 1983- Positive Scalar Curvature and a Smooth Variation of Baas-Sullivan Theory Glatte Mannigfaltigkeit (DE-588)4157471-0 gnd Skalare Krümmung (DE-588)4808160-7 gnd Fundamentalgruppe (DE-588)4155638-0 gnd Singuläre Homologietheorie (DE-588)4181520-8 gnd |
| subject_GND | (DE-588)4157471-0 (DE-588)4808160-7 (DE-588)4155638-0 (DE-588)4181520-8 (DE-588)4113937-9 |
| title | Positive Scalar Curvature and a Smooth Variation of Baas-Sullivan Theory |
| title_auth | Positive Scalar Curvature and a Smooth Variation of Baas-Sullivan Theory |
| title_exact_search | Positive Scalar Curvature and a Smooth Variation of Baas-Sullivan Theory |
| title_full | Positive Scalar Curvature and a Smooth Variation of Baas-Sullivan Theory vorgelegt von Sven Führing |
| title_fullStr | Positive Scalar Curvature and a Smooth Variation of Baas-Sullivan Theory vorgelegt von Sven Führing |
| title_full_unstemmed | Positive Scalar Curvature and a Smooth Variation of Baas-Sullivan Theory vorgelegt von Sven Führing |
| title_short | Positive Scalar Curvature and a Smooth Variation of Baas-Sullivan Theory |
| title_sort | positive scalar curvature and a smooth variation of baas sullivan theory |
| topic | Glatte Mannigfaltigkeit (DE-588)4157471-0 gnd Skalare Krümmung (DE-588)4808160-7 gnd Fundamentalgruppe (DE-588)4155638-0 gnd Singuläre Homologietheorie (DE-588)4181520-8 gnd |
| topic_facet | Glatte Mannigfaltigkeit Skalare Krümmung Fundamentalgruppe Singuläre Homologietheorie Hochschulschrift |
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