Gems, computers, and attractors for 3-manifolds /
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| Author / Creator: | Lins, Sóstenes. |
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| Imprint: | Singapore ; River Edge, NJ : World Scientific, c1995. |
| Description: | xiv, 450 p. : ill. ; 23 cm. |
| Language: | English |
| Series: | Series on knots and everything ; vol. 5 K & E series on knots and everything ; vol. 5. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/2444352 |
| Summary: | This book is about dealing with 3-manifolds using computers. Its emphasis is on presenting algorithms which are used for solving (in practice) the homeomorphism problem for the smallest of these objects. The key concept is the 3-gem, a special kind of edge-colored graph, which encodes the manifold via a ball complex. Passages between 3-gems and more standard presentations like Heegaard diagrams and surgery descriptions are provided. A catalogue of all closed orientable 3-manifolds induced by 3-gems up to 30 vertices is included. In order to help the classification, various invariants are presented, including the new quantum invariants. |
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| Physical Description: | xiv, 450 p. : ill. ; 23 cm. |
| Bibliography: | Includes bibliographical references (p. 443-446) and index. |
| ISBN: | 9810219075 |