| Topology and Combinatorics of 3-Manifolds 1995 Edition Contributor(s): Johannson, Klaus (Author) |
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ISBN: 3540590633 ISBN-13: 9783540590637 Publisher: Springer OUR PRICE: $66.49 Product Type: Paperback - Other Formats Published: April 1995 Annotation: 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 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - General - Mathematics | Topology - General - Mathematics | Group Theory |
| Dewey: 514.223 |
| LCCN: 95004082 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.94" H x 6.14" W x 9.21" (1.43 lbs) 450 pages |
