Topology and Combinatorics of 3-Manifolds

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Sprache: Englisch

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Beschreibung

This book is a study of combinatorial structures of 3-mani- folds, especially Haken 3-manifolds. Specifically, it is concerned with Heegard graphs in Haken 3-manifolds, i.e., with graphs whose complements have a free fundamental group. These graphs always exist. They fix not only a combinatorial stucture but also a presentation for the fundamental group of the underlying 3-manifold. The starting point of the book is the result that the intersection of Heegard graphs with incompressible surfaces, or hierarchies of such surfaces, is very rigid. A number of finiteness results lead up to a ri- gidity theorem for Heegard graphs. The book is intended for graduate students and researchers in low-dimensional topolo- gy as well as combinatorial theory. It is self-contained and requires only a basic knowledge of the theory of 3-manifolds

Inhaltsverzeichnis

Handlebodies.- Relative handlebodies.- Generalized one-relator 3-manifolds.- N-relaton 3-manifolds.- The space of heegaard graphs.

Details

Erscheinungsjahr:	1995
Fachbereich:	Geometrie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Einband - flex.(Paperback)
ISBN-13:	9783540590637
ISBN-10:	3540590633
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Johannson, Klaus
Hersteller:	Springer Berlin Springer Berlin Heidelberg
Verantwortliche Person für die EU:	Spektrum-Akademischer Vlg, Slevogtstr. 3-5, D-69126 Heidelberg, productsafety@springernature.com
Maße:	235 x 155 x 26 mm
Von/Mit:	Klaus Johannson
Erscheinungsdatum:	21.04.1995
Gewicht:	0,703 kg