Lecture Notes on Generalized Heegaard Splittings - Couverture rigide

Scharlemann, Martin; Schultens, Jennifer; Saito, Toshio

Couverture rigide

ISBN 10 : 9813109114 ISBN 13 : 9789813109117

Editeur : World Scientific Publishing Co Pte Ltd, 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.

A propos du livre

Présentation de l'éditeur

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.

Revue de presse

This book is for graduate students and researchers in topology. These notes are well written, definitions are followed by examples, proofs are given in detail. There are exercises included in each chapter. Both, examples and proof, are depicted with many figures. This book is nicely illustrated, and it is an excellent source for those interested in the theory of Heegaard splittings and generalized Heegaard splittings of compact 3-manifolds. --Zentralblatt MATH

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 2016
• Langue: anglais
• ISBN 10: 9813109114
• ISBN 13: 9789813109117
• Reliure: Relié
• Numéro d'édition: 1
• Nombre de pages: 140
• Coordonnées du fabricant: non disponible
• Personne responsable: GPSR Kontakt; gpsr@libri.de; ; Europaallee 1; Bad Hersfeld; 36244; Allemagne