Computers, rigidity, and moduli: the large-scale fractal geometry of Riemannian moduli space
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Princeton ; Oxford
Princeton University Press
[2005]
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| Series: | M. B. Porter lectures
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 174 Seiten Illustrationen, Diagramme |
| ISBN: | 0691118892 |
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Record in the Search Index
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| adam_text | COMPUTERS, RIGIDITY, AND MODULI THE LARGE-SCALE FRACTAL GEOMETRY OF
RIEMANNIAN MODULI SPACE SHMUEL WEINBERGER PRINCETON UNIVERSITY PRESS
PRINCETON AND OXFORD CONTENTS PREFACE IX INTRODUCTION AND OVERVIEW 1 1.1
REFLECTIONS ON LIGHT 1 1.2 VARIATIONAL PROBLEMS 3 1.3 THE BEST IS OFTEN
BEAUTIFUL 5 1.4 MODULI SPACE (PHASE SPACE) 8 1.5 CALCULUS AND BEYOND 9
1.6 SOME FINE PRINT 15 1.7 THE LIMITS OF COMPUTATION (AND OF PROOF) 17
1.8 AND BEYOND 21 1.9 THE METHOD OF EASTERN PHILOSOPHY 25 1.10 FRACTALS
AND GEOMETRICIZATION 28 NOTES 32 CHAPTER 1. GROUP THEORY 37 1.1
PRESENTATIONS OF GROUPS 37 1.2 PROBLEMS ABOUT GROUPS 42 APPENDIX: SOME
REFINEMENTS AND EXTENSIONS 44 1.3 DEHN FUNCTIONS 47 1.4 GROUP HOMOLOGY
51 1.5 ARITHMETIC GROUPS 55 1.6 REALIZATION OF SEQUENCES OF GROUPS AS
GROUP HOMOLOGY 60 NOTES 63 CHAPTER 2. DESIGNER HOMOLOGY SPHERES 69 2.1
FUNDAMENTAL GROUPS 69 2.2 ALGORITHMIC IMPOSSIBILITY RESULTS 73 2.3
NABUTOVSKY S THESIS 76 2.4 THE CLASSIFICATION OF HOMOLOGY SPHERES 77
APPENDIX 1: SURGERY, HOMOLOGY SURGERY, AND ALL THAT 80 APPENDIX 2:
ISOTOPY OF HYPERSURFACES 83 APPENDIX 3: THE NOVIKOV CONJECTURE 85 VIII
2.5 SIMPLICIAL NORM 2.6 HOMOLOGY SPHERES WITH NONZERO SIMPLICAL NORM
NOTES CHAPTER 3. THE ROLES OF ENTROPY 3.1 THE PROBLEM OF CLOSED
GEODESIES 3.2 ENTROPY OF FREE LOOPSPACES AND CLOSED CONTRACTIBLE
GEODESIES APPENDIX: CONSTRUCTING ASPHERICAL MANIFOLDS BY REFLECTION
GROUPS 3.3 INTRODUCTION TO KOLMOGOROV COMPLEXITY 3.4 COMPLEXITY AND
CLOSED GEODESIES NOTES CHAPTER 4. THE LARGE-SCALE FRACTAL GEOMETRY OF
RIEMANNIAN MODULI SPACE 4.1 STATEMENT OF RESULTS 4.2 NEOCLASSICAL
COMPARISON GEOMETRY 4.3 EXISTENCE OF EXTREMAL METRICS 4.4 DEPTH VERSUS
DENSITY 4.5 BDIFF APPENDIX 1: THE ISOMORPHISM CONJECTURE AND SECONDARY
INVARIANTS APPENDIX 2: JSJ DECOMPOSITIONS 4.6 THE CONTAGION OF SYMMETRY
4.7 FILLING FUNCTIONS FOR TL(M ) 4.8 FURTHER DIRECTIONS NOTES CONTENTS
86 88 90 97 97 101 105 106 109 111 119 119 125 128 131 133 139 145 146
149 154 158 INDEX 171
|
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| dewey-search | 516.3/73 |
| dewey-sort | 3516.3 273 |
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| indexdate | 2024-07-09T20:06:27Z |
| institution | BVB |
| isbn | 0691118892 |
| language | English |
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| physical | X, 174 Seiten Illustrationen, Diagramme |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Princeton University Press |
| record_format | marc |
| series2 | M. B. Porter lectures |
| spelling | Weinberger, Shmuel Verfasser aut Computers, rigidity, and moduli the large-scale fractal geometry of Riemannian moduli space Shmuel Weinberger Princeton ; Oxford Princeton University Press [2005] © 2005 X, 174 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier M. B. Porter lectures Complexité de calcul (Informatique) Fractales Fractals gtt Modules, Théorie des Moduli spaces gtt Riemann, Variétés de Riemann-vlakken gtt Computational complexity Fractals Moduli theory Riemannian manifolds GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013127363&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weinberger, Shmuel Computers, rigidity, and moduli the large-scale fractal geometry of Riemannian moduli space Complexité de calcul (Informatique) Fractales Fractals gtt Modules, Théorie des Moduli spaces gtt Riemann, Variétés de Riemann-vlakken gtt Computational complexity Fractals Moduli theory Riemannian manifolds |
| title | Computers, rigidity, and moduli the large-scale fractal geometry of Riemannian moduli space |
| title_auth | Computers, rigidity, and moduli the large-scale fractal geometry of Riemannian moduli space |
| title_exact_search | Computers, rigidity, and moduli the large-scale fractal geometry of Riemannian moduli space |
| title_full | Computers, rigidity, and moduli the large-scale fractal geometry of Riemannian moduli space Shmuel Weinberger |
| title_fullStr | Computers, rigidity, and moduli the large-scale fractal geometry of Riemannian moduli space Shmuel Weinberger |
| title_full_unstemmed | Computers, rigidity, and moduli the large-scale fractal geometry of Riemannian moduli space Shmuel Weinberger |
| title_short | Computers, rigidity, and moduli |
| title_sort | computers rigidity and moduli the large scale fractal geometry of riemannian moduli space |
| title_sub | the large-scale fractal geometry of Riemannian moduli space |
| topic | Complexité de calcul (Informatique) Fractales Fractals gtt Modules, Théorie des Moduli spaces gtt Riemann, Variétés de Riemann-vlakken gtt Computational complexity Fractals Moduli theory Riemannian manifolds |
| topic_facet | Complexité de calcul (Informatique) Fractales Fractals Modules, Théorie des Moduli spaces Riemann, Variétés de Riemann-vlakken Computational complexity Moduli theory Riemannian manifolds |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013127363&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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