On hyperbolicity of manifolds which fiber over the circle with a once-punctured surface of genus 2:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
1998
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Bielefeld, Univ., Diss., 1998 |
| Beschreibung: | 97 S. Ill., graph. Darst. |
Internformat
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| 245 | 1 | 0 | |a On hyperbolicity of manifolds which fiber over the circle with a once-punctured surface of genus 2 |c vorgelegt von Christof Menzel |
| 264 | 1 | |c 1998 | |
| 300 | |a 97 S. |b Ill., graph. Darst. | ||
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| 500 | |a Bielefeld, Univ., Diss., 1998 | ||
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Datensatz im Suchindex
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|---|---|
| adam_text |
CONTENTS
1 INTRODUCTION \ ^ 5
1.1 BACKGROUND. 5
1.2 OUTLINE AND SUMMARY OF RESULTS. 6
2 ORIENTABLE 3-MANIFOLDS FIBERING OVER THE CIRCLE WITH A SUR
FACE OF GENUS G , 9
2.1 CONSTRUCTION AND FUNDAMENTAL GROUP. 9
2.2 THE CASE OF A ONCE-PUNCTURED SURFACE . 10
2.3 THE CASE G = 2. 11
3 CRITERIA FOR HYPERBOLICITY 15
3.1 CRITERION: / IS PSEUDO-ANOSOV. 15
3.$ THE CLOSED CASE. 16
3.3 THE CASE OF THE ONCE-PUNCTURED TORUS. 17
3.4 THE CASE OF A ONCE-PUNCTURED SURFACE OF GENUS G 1. 19
4 TECHNICAL PREREQUESITES 23
4.1 REPRESENTABILITY OF A GROUP G IN SL
2
(C) . 23
4.2 REPRESENTABILITY OF ?RI(MFF(/)) AS COFINITE LATTICE IN PSL2(C) . .
24
4.3 TRACE CALCULUS AND COORDINATE CALCULUS. 25
4.4 FURTHER EQUATIONS AS CONSEQUENCES FROM THE REPRESENTABILITY IN
SL2(C) . 27
4.5 MISCELLANEOUS CONSEQUENCES. 29
4.6 DISCRETENESS. 30
4.7 COMPUTATION OF THE VOLUME OF
M. 30
3
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/954229193
4
5 GIVEN /, HOW TO FIND THE HYPERBOLIC STRUCTURE ON JM
2
(/)? 33
6 HOW TO FIND SUITABLE AUTOMORPHISMS? 37
6.1 FACTS ABOUT AUT($
2
S, A). 37
6.2 HOW TO FIND AN AUTOMORPHISM OF THAT IS NONPERIODIC IRRE
DUCIBLE? . 39
7 TWO EXAMPLES 43
7.1
M
2
(
91
) IS HYPERBOLIC. 43
7.2 7RI(M2(5I/1-2)) IS NOT DISCRETE. 56
8 FURTHER RESULTS 59
8.1 M
2
( /I /J-1) IS HYPERBOLIC. 59
8.2 M
2(D/F): AN OPEN CASE. 62
8.3 COLLECTION OF (MOSTLY NEGATIVE) RESULTS. 66
9 THE CASE OF A TWICE-PUNCTURED SURFACE 69
9.1 PRELIMINARY CONSIDERATIONS. 69
9.2 CONSEQUENCES FOR THE MATRICES . 70
9.3 THE CASE OF THE TWICE PUNCTURED TORUS. 71
10 GLIMPSES 73
APPENDIX 77
BIBLIOGRAPHY 96
97
ACKNOWLEDGEMENT |
| any_adam_object | 1 |
| author | Menzel, Christof |
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| author_facet | Menzel, Christof |
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| building | Verbundindex |
| bvnumber | BV012076579 |
| ctrlnum | (OCoLC)246109546 (DE-599)BVBBV012076579 |
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| indexdate | 2024-10-09T16:04:05Z |
| institution | BVB |
| language | English |
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| physical | 97 S. Ill., graph. Darst. |
| publishDate | 1998 |
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| spelling | Menzel, Christof Verfasser (DE-588)12036705X aut On hyperbolicity of manifolds which fiber over the circle with a once-punctured surface of genus 2 vorgelegt von Christof Menzel 1998 97 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Bielefeld, Univ., Diss., 1998 Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008175806&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Menzel, Christof On hyperbolicity of manifolds which fiber over the circle with a once-punctured surface of genus 2 Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd |
| subject_GND | (DE-588)4161044-1 (DE-588)4113937-9 |
| title | On hyperbolicity of manifolds which fiber over the circle with a once-punctured surface of genus 2 |
| title_auth | On hyperbolicity of manifolds which fiber over the circle with a once-punctured surface of genus 2 |
| title_exact_search | On hyperbolicity of manifolds which fiber over the circle with a once-punctured surface of genus 2 |
| title_full | On hyperbolicity of manifolds which fiber over the circle with a once-punctured surface of genus 2 vorgelegt von Christof Menzel |
| title_fullStr | On hyperbolicity of manifolds which fiber over the circle with a once-punctured surface of genus 2 vorgelegt von Christof Menzel |
| title_full_unstemmed | On hyperbolicity of manifolds which fiber over the circle with a once-punctured surface of genus 2 vorgelegt von Christof Menzel |
| title_short | On hyperbolicity of manifolds which fiber over the circle with a once-punctured surface of genus 2 |
| title_sort | on hyperbolicity of manifolds which fiber over the circle with a once punctured surface of genus 2 |
| topic | Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd |
| topic_facet | Hyperbolische Mannigfaltigkeit Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008175806&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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