A small arithmetic hyperbolic three-manifold

Author:

Chinburg Ted

Abstract

The hyperbolic three-manifold which results from ( 5 , 1 ) (5,1) Dehn surgery on the complement of a figure-eight knot in S 3 {S^3} is arithmetic.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

1. Commensurability classes and volumes of hyperbolic 3-manifolds;Borel, A.;Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4),1981

2. The smallest arithmetic hyperbolic three-orbifold;Chinburg, Ted;Invent. Math.,1986

3. On quartic fields of signature one with small discriminant;Godwin, H. J.;Quart. J. Math. Oxford Ser. (2),1957

4. R. Meyerhoff, A lower bound for the volume of hyperbolic 3-manifolds, preprint (1982).

5. Hyperbolic geometry: the first 150 years;Milnor, John;Bull. Amer. Math. Soc. (N.S.),1982

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Oeljeklaus–Toma manifolds and arithmetic invariants;Mathematische Zeitschrift;2016-10-01

2. Arithmetic Hyperbolic 3-Manifolds and Orbifolds;The Arithmetic of Hyperbolic 3-Manifolds;2003

3. Examples;The Arithmetic of Hyperbolic 3-Manifolds;2003

4. Totally geodesic surfaces in hyperbolic 3-manifolds;Proceedings of the Edinburgh Mathematical Society;1991-02

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