The arithmetic of hyperbolic 3-manifolds

著者

• MacLachlan, Colin M.
• Reid, Alan W.

書誌事項

The arithmetic of hyperbolic 3-manifolds

Colin Maclachlan, Alan W. Reid

（Graduate texts in mathematics, 219）

Springer, c2003

注記

"With 57 Illustrations"

Includes bibliographical references (p. [443]-458) and index

内容説明・目次

内容説明

Recently there has been considerable interest in developing techniques based on number theory to attack problems of 3-manifolds; Contains many examples and lots of problems; Brings together much of the existing literature of Kleinian groups in a clear and concise way; At present no such text exists

目次

* 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 *

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA60157321
• ISBN:
  • 9780387983868
• LCCN: 2002070472
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York ; Tokyo
• ページ数/冊数: xiii, 463 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA613.2.M29
  • DC21 : 514/.3
• 件名:
  • LCSH : Three-manifolds (Topology)
• 親書誌ID:
  • BA00010074