Topology and Combinatorics of 3-Manifolds

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 stu...

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Xehetasun bibliografikoak
Egile nagusia: Johannson, Klaus, 1948-
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Saila:Lecture notes in mathematics 1599
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Edition sous un autre format:• Topology and combinatorics of 3-manifolds, Klaus Johannson, 1995, Berlin [etc.], Springer, 1 volume (XVIII-446 pages), Lecture notes in mathematics, 3-540-59063-3
• Topology and Combinatorics of 3-Manifolds, Texte imprimé, 9783662174951
Deskribapena
Gaia: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.
Alearen deskribapena:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540491811 (PDF)
ISSN:1617-9692
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