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
Produkteigenschaften
- Artikelnummer: 9783540590637
- Medium: Buch
- ISBN: 978-3-540-59063-7
- Verlag: Springer Berlin Heidelberg
- Erscheinungstermin: 21.04.1995
- Sprache(n): Englisch
- Auflage: 1995
- Serie: Lecture Notes in Mathematics
- Produktform: Kartoniert
- Gewicht: 1440 g
- Seiten: 450
- Format (B x H x T): 155 x 235 x 26 mm
- Ausgabetyp: Kein, Unbekannt