Topology and Combinatorics of 3-Manifolds (e-bog) af Johannson, Klaus
Johannson, Klaus (forfatter)

Topology and Combinatorics of 3-Manifolds e-bog

509,93 DKK (inkl. moms 637,41 DKK)
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 startin...
E-bog 509,93 DKK
Forfattere Johannson, Klaus (forfatter)
Forlag Springer
Udgivet 14 november 2006
Genrer PBG
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9783540491811
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