Topology and Combinatorics of 3-Manifolds
Johannson, Klaus
Produktnummer:
183da27c09785248cf9abe49178b8ec172
| Autor: | Johannson, Klaus |
|---|---|
| Themengebiete: | 3-manifolds Fundamental group Heegard surfaces graphs homotopy manifold triangulations |
| Veröffentlichungsdatum: | 21.04.1995 |
| EAN: | 9783540590637 |
| Sprache: | Englisch |
| Seitenzahl: | 450 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Berlin |
Produktinformationen "Topology and Combinatorics of 3-Manifolds"
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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