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Topology and Combinatorics of 3 Manifolds Book PDF 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 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

Detail Book of Topology and Combinatorics of 3 Manifolds PDF

Topology and Combinatorics of 3 Manifolds
  • Author : Klaus Johannson
  • Release : 14 November 2006
  • Publisher : Springer
  • ISBN : 9783540491811
  • Genre : Mathematics
  • Total Page : 464 pages
  • Language : English
  • PDF File Size : 18,6 Mb

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New Ideas In Low Dimensional Topology

New Ideas In Low Dimensional Topology Author : Vassily Olegovich Manturov,Louis H Kauffman
Publisher : World Scientific
File Size : 10,5 Mb
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This book consists of a selection of articles devoted to new ideas and developments in low dimension...