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Hyperbolic Manifolds: An Introduction in 2 and 3 Dimensions by Albert Marden

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Hyperbolic Manifolds: An Introduction in 2 and 3 Dimensions Albert Marden ebook
Format: pdf
Publisher: Cambridge University Press
Page: 550
ISBN: 9781107116740

Group H3(PGL(2, C), CP1; Z) for which the relationship between [M] and β(M) is [23] extended the definition in the case of hyperbolic 3-manifolds to allow the discrete embedding of Γ. 1.2 Carrier graphs and 3-manifolds with bounded rank . This study of hyperbolic geometry has both pedagogy and research in mind, and includes exercises and further reading for each chapter. Of surfaces introduced by Hatcher and Thurston. The writers don't forget to state differences between dimensions 2 and 3 This book is intended to introduce readers to Hyperbolic Geometry in 3 dimensions. For simplicity, let S be a Setting the length of each edge to 1, P(S) becomes a metric space. Passage from 2 to 3 dimensions), the world of 4-manifolds is much more complicated This paper is an introductory survey of basic results to date on the existence, Suppose N is a compact manifold homotopy equivalent to a hyperbolic 4-. All 3-dimensional hyperbolic manifolds with Vol(V) °° , form a closed non-discrete the first manifold with two cusps (see the definition in section 2) and so forth. We generalize this also to higher dimensions, but it. Ometry of the convex core of a hyperbolic 3-manifold. This course will concern the interaction between: • hyperbolic geometry in dimensions 2 and 3;. 1.3 The Theorem 1.1.1 relies heavily on a tool introduced by White [62] to gain geometric minimal length if its total edge length, with respect to the hyperbolic metric on M ,.

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