Topology and Combinatorics of 3-Manifolds

Topology and Combinatorics of 3-Manifolds
Author :
Publisher : Springer
Total Pages : 464
Release :
ISBN-10 : 9783540491811
ISBN-13 : 3540491813
Rating : 4/5 (11 Downloads)

Book Synopsis Topology and Combinatorics of 3-Manifolds by : Klaus Johannson

Download or read book Topology and Combinatorics of 3-Manifolds written by Klaus Johannson and published by Springer. This book was released on 2006-11-14 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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


Topology and Combinatorics of 3-Manifolds Related Books

Topology and Combinatorics of 3-Manifolds
Language: en
Pages: 464
Authors: Klaus Johannson
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

DOWNLOAD EBOOK

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-ma
Foliations and the Geometry of 3-Manifolds
Language: en
Pages: 378
Authors: Danny Calegari
Categories: Mathematics
Type: BOOK - Published: 2007-05-17 - Publisher: Oxford University Press on Demand

DOWNLOAD EBOOK

This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Th
Classical Topology and Combinatorial Group Theory
Language: en
Pages: 344
Authors: John Stillwell
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler's
Elements of Homology Theory
Language: en
Pages: 432
Authors: Viktor Vasilʹevich Prasolov
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The book is a continuation of the previous book by the author (Elements of Combinatorial and Differential Topology, Graduate Studies in Mathematics, Volume 74,
Toric Topology
Language: en
Pages: 534
Authors: Victor M. Buchstaber
Categories: Mathematics
Type: BOOK - Published: 2015-07-15 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on the border of equivariant topology, algebraic and symplecti