Lecture notes on generalized Heegaard splittings
著者
書誌事項
Lecture notes on generalized Heegaard splittings
World Scientific, c2016
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注記
Includes bibliographical references and index
At head of titlle " Three lectures on Low-Dimensional Topology in Kyoto"
内容説明・目次
内容説明
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.
目次
- 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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