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Topology and combinatorics of 3-manifolds

Author: Klaus Johannson
Publisher: Berlin ; New York : Springer-Verlag, ©1995.
Series: Lecture notes in mathematics (Springer-Verlag), 1599.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Johannson, Klaus, 1948-
Topology and combinatorics of 3-manifolds.
Berlin ; New York : Springer-Verlag, ©1995
(DLC) 95004082
(OCoLC)32085621
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Klaus Johannson
ISBN: 9783540491811 3540491813
OCLC Number: 298705327
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (xviii, 446 pages) : illustrations.
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: 1. Standard Graphs and Meridian-Systems --
2. The Disc-Complex --
3. Homeomorphisms --
4. Pseudo-Anosov Homeomorphisms --
5. Branching Complexes --
6. Heegaard-Diagrams --
7. Surfaces --
8. Homeomorphisms --
9. Duality --
10. Presentations for Surfaces --
11. The Seifert Characteristic --
12. Algorithms for Surfaces --
13. The Haken Spectrum --
14. Good Pencils --
15. The Handle-Addition Lemma (Absolute Form) --
16. The Handle-Addition Lemma (Relative Form) --
17. Homotopy and Isotopy --
18. The Mapping Class Group --
19. Incompressibility --
20. The Compression-Algorithm --
21. The Haken Spectrum --
22. An Example --
23. The Handle-Addition Lemma (General Case) --
24. The Unknotting Theorem --
25. Distances for Heegaard Graphs --
26. Constructing Heegaard Graphs --
27. Haken Complexes and Heegaard Complexes --
28. Short Companions for Haken Graphs --
29. Invariant Regions for Long Arc-Sequences --
30. The Universal Limit for Induced Haken Graphs.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1599.
Responsibility: Klaus Johannson.

Abstract:

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  Read more...

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