The Arithmetic of Hyperbolic 3-Manifolds

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Sprache: Englisch

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Beschreibung

This text is based on graduate courses given by the authors. The seminal work of W. Thurston in the 1970's, in which geometric techniques were introduced to 3-dimensional topology, has made the area one of the most active areas of current research. Recently there has been considerable interest in developing techniques based on connections of hyperbolic 3-manifolds with number theory to attack problems on hyperbolic 3-manifolds. This is primarily the subject matter of the book.

Zusammenfassung

Inhaltsverzeichnis

* Number Theoretic Menagerie * Kleinian Groups and Hyperbolic Manifolds * Quaternion Algebras I * Invariant Trace Fields * Examples * Applications * Orders in Quaternion Algebras * Quaternion Algebras II * Arithmetic Kleinian Groups * Arithmetic Hyperbolic 3-Manifolds and Orbifolds * Discrete Arithmetic Groups * Commensurate Arithmetic Groups and Volumes * Length and Torsion in Arithmetic Hyperbolic Orbifolds * Appendices * References * Index *

Details

Erscheinungsjahr:	2011
Fachbereich:	Geometrie
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Graduate Texts in Mathematics
Inhalt:	xiii 467 S.
ISBN-13:	9781441931221
ISBN-10:	1441931228
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Maclachlan, Colin Reid, Alan W.
Hersteller:	Humana Springer Springer US, New York, N.Y. Graduate Texts in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 27 mm
Von/Mit:	Colin Maclachlan (u. a.)
Erscheinungsdatum:	29.07.2011
Gewicht:	0,727 kg