Author : S¢stenes Lins
Publisher : World Scientific
ISBN 13 : 9812796193
Total Pages : 468 pages
Book Rating : 4.8/5 (127 download)
Book Synopsis Gems, Computers and Attractors For 3-Manifolds by : S¢stenes Lins
Download or read book Gems, Computers and Attractors For 3-Manifolds written by S¢stenes Lins and published by World Scientific. This book was released on 1995 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.