Overview

This book is part of the series of three books arise from lectures organized by Hitoshi Murakami at RIMS, Kyoto University in the summer of 2001. The lecture series was aimed at a broad audience that included many graduate students. Its purpose lay in familiarizing the audience with the basics of 3-manifold theory and introducing some topics of current research. The first portion of the lecture series was devoted to standard topics in the theory of 3-manifolds. The middle portion was devoted to a brief study of Heegaard splittings and generalized Heegaard splittings.In the standard schematic diagram for generalized Heegaard splittings, Heegaard splittings are stacked on top of each other in a linear fashion. This can cause confusion in those cases in which generalized Heegaard splittings possess interesting connectivity properties. Fork complexes were invented in an effort to illuminate some of the more subtle issues arising in the study of generalized Heegaard splittings.

Full Product Details

Author:   Martin Scharlemann (Univ Of California, Santa Barbara, Usa) ,  Jennifer Schultens (Univ Of California, Davis, Usa) ,  Toshio Saito (Joetsu Univ Of Education, Japan)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.10cm
Weight:   0.408kg
ISBN:  

9789813109117

ISBN 10:   9813109114
Pages:   140
Publication Date:   14 June 2016
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Definitions and Examples of PL 3-Manifolds; Definitons and Examples of Heegaard Splittings; The Theorems of Reidemeister-Singer and Waldhausen; Generalized Heegaard Splittings and Fork Complexes;

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