Algorithmic Topology and Classification of 3-Manifolds

✍ Scribed by Sergei Matveev (auth.)

• Book ID: 127450114
• Publisher: Springer
• Year: 2003
• Tongue: English
• Weight: 9 MB
• Edition: 2nd ed
• Category: Library
• City: Berlin; New York
• ISBN-13: 9783540458982
• ISSN: 1431-1550
• DOI: 10.1007/978-3-662-05102-3

✦ Synopsis

From the reviews of the 1st edition:

"This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology, culminating with the recognition procedure for Haken manifolds and including the up-to-date results in computer enumeration of 3-manifolds. Originating from lecture notes of various courses given by the author over a decade, the book is intended to combine the pedagogical approach of a graduate textbook (without exercises) with the completeness and reliability of a research monograph…

All the material, with few exceptions, is presented from the peculiar point of view of special polyhedra and special spines of 3-manifolds. This choice contributes to keep the level of the exposition really elementary.

In conclusion, the reviewer subscribes to the quotation from the back cover: "the book fills a gap in the existing literature and will become a standard reference for algorithmic 3-dimensional topology both for graduate students and researchers".

Zentralblatt f?r Mathematik 2004

For this 2nd edition, new results, new proofs, and commentaries for a better orientation of the reader have been added. In particular, in Chapter 7 several new sections concerning applications of the computer program "3-Manifold Recognizer" have been included.

✦ Subjects

Symbolic and Algebraic Manipulation