Gems, Computers and Attractors for 3-Manifolds (Series on Knots and Everything) [Hardcover]

Sostenes Lins (Author)

Book Description

ISBN-10: 9810219075 | ISBN-13: 978-9810219079 | Publication Date: September 1995

This text provides a guide to dealing with 3-manifolds by 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.

Editorial Reviews

From the Publisher

This book is about dealing with 3-manifolds usingcomputers. Its emphasis is on presenting algorithms which are used forsolving (in practice) the homeomorphism problem for the smallest ofthese objects. The key concept is the 3-gem, a special kind ofedge-colored graph, which encodes the manifold via a ballcomplex. Passages between 3-gems and more standard presentations likeHeegaard diagrams and surgery descriptions are provided. A catalogueof all closed orientable 3-manifolds induced by 3-gems up to 30vertices is included. In order to help the classification, variousinvariants are presented, including the new quantum invariants.

Product Details

• Hardcover: 450 pages
• Publisher: World Scientific Pub Co Inc (September 1995)
• Language: English
• ISBN-10: 9810219075
• ISBN-13: 978-9810219079
• Product Dimensions: 8.6 x 6.4 x 1.3 inches
• Shipping Weight: 1.6 pounds (View shipping rates and policies)
• Amazon Best Sellers Rank: #5,663,831 in Books (See Top 100 in Books)

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