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＜E-Book＞
Topology and Combinatorics of 3-Manifolds / by Klaus Johannson
(Lecture Notes in Mathematics. ISSN:16179692 ; 1599)

Edition	1st ed. 1995.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1995
Size	XVIII, 450 p : online resource
Authors	*Johannson, Klaus author SpringerLink (Online service)
Subjects	LCSH:Algebraic topology LCSH:Manifolds (Mathematics) LCSH:Group theory FREE:Algebraic Topology FREE:Manifolds and Cell Complexes FREE:Group Theory and Generalizations
Notes	Handlebodies -- Relative handlebodies -- Generalized one-relator 3-manifolds -- N-relaton 3-manifolds -- The space of heegaard graphs 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 HTTP:URL=https://doi.org/10.1007/BFb0074005

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