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About Gems, Computers and Attractors for 3-Manifolds (Series on Knots and Everything)
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.
Detailed Information
| Author: | Sostenes Lins |
|---|---|
| Publication Year: | 1995 |
| ISBN: | 9789810219079 |
| Pages: | 468 |
| Language: | English |
| File Size: | 18.11 |
| Format: | |
| Price: | FREE |
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