Item description for Topology and Combinatorics of 3-Manifolds (Lecture Notes in Mathematics 1599) by Klaus Johannson...
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
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Est. Packaging Dimensions: Length: 9.2" Width: 6" Height: 1.1" Weight: 1.2 lbs.
Release Date May 26, 1995
ISBN 3540590633 ISBN13 9783540590637
Availability 104 units. Availability accurate as of May 25, 2017 04:33.
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