The Arithmetic of Hyperbolic 3-Manifolds
For the past 25 years, the Geometrization Program of Thurston has been a driving force for research in 3-manifold topology. This has inspired a surge of activity investigating hyperbolic 3-manifolds (and Kleinian groups), as these manifolds form the largest and least well-understood class of compact...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2003, 2003
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| Edition: | 1st ed. 2003 |
| Series: | Graduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 0 Number-Theoretic Menagerie
- 1 Kleinian Groups and Hyperbolic Manifolds
- 2 Quaternion Algebras I
- 3 Invariant Trace Fields
- 4 Examples
- 5 Applications
- 6 Orders in Quaternion Algebras
- 7 Quaternion Algebras II
- 8 Arithmetic Kleinian Groups
- 9 Arithmetic Hyperbolic 3-Manifolds and Orbifolds
- 10 Discrete Arithmetic Groups
- 11 Commensurable Arithmetic Groups and Volumes
- 12 Length and Torsion in Arithmetic Hyperbolic Orbifolds
- 13 Appendices