Gems, Computers and Attractors for 3-Manifolds (Series on Knots and Everything)
Gems, Computers and Attractors for 3-Manifolds (Series on Knots and Everything)
by Sostenes Lins
English | September 1, 1995 | ISBN: 9810219075 | 450 pages | PDF | 17 Mb
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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