Lecture Notes on Generalized Heegaard Splittings - Hardcover

Martin Scharlemann; Jennifer Schultens; Toshio Saito

Hardcover

ISBN 10: 9813109114 ISBN 13: 9789813109117

Publisher: World Scientific Publishing Company, 2016

Synopsis

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.

About this title

From the Back Cover

This book aims to familiarize researchers in low dimensional topology with generalized Heegaard splittings. It provides standardized notation to discuss the combinatorial technicalities of generalized Heegaard splittings.

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 2016
• Language: English
• ISBN 10: 9813109114
• ISBN 13: 9789813109117
• Binding: Hardcover
• Edition number: 1
• Number of pages: 140