UID:
almafu_9959185911602883
Format:
1 online resource (XVIII, 450 p.)
Edition:
1st ed. 1995.
Edition:
Online edition Springer Lecture Notes Archive ; 041142-5
ISBN:
3-540-49181-3
Series Statement:
Lecture Notes in Mathematics, 1599
Content:
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.
Note:
Bibliographic Level Mode of Issuance: Monograph
,
Handlebodies -- Relative handlebodies -- Generalized one-relator 3-manifolds -- N-relaton 3-manifolds -- The space of heegaard graphs.
,
English
In:
Springer eBooks
Additional Edition:
ISBN 3-540-59063-3
Language:
English
URL:
http://dx.doi.org/10.1007/BFb0074005
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