TY  - BOOK
AU  - Johannson,Klaus
ED  - SpringerLink (Online service)
TI  - Topology and Combinatorics of 3-Manifolds
T2  - Lecture Notes in Mathematics,
SN  - 9783540491811
AV  - QA612-612.8 
U1  - 514.2 23
PY  - 1995///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Group theory
KW  - Algebraic topology
KW  - Cell aggregation
KW  - Algebraic Topology
KW  - Manifolds and Cell Complexes (incl. Diff.Topology)
KW  - Group Theory and Generalizations
N1  - Handlebodies -- Relative handlebodies -- Generalized one-relator 3-manifolds -- N-relaton 3-manifolds -- The space of heegaard graphs
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0074005
ER  -