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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语言 英语 ● 格式 PDF ● 网页 468 ● ISBN 9789814501538 ● 出版者 World Scientific Publishing Company ● 发布时间 1995 ● 下载 3 时 ● 货币 EUR ● ID 8099220 ● 复制保护 Adobe DRM
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