Gems, Computers, And Attractors For 3-manifolds [DJVU]
E-Book Overview
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.
E-Book Information
-
Series: Series on knots and everything 5
-
Year: 1,995
-
City: Singapore; River Edge, NJ
-
Pages: 468
-
Pages In File: 468
-
Language: English
-
Topic: 124
-
Library: Kolxo3
-
Issue: 2009 new
-
Identifier: 9789810219079,9810219075
-
Ddc: 514/.223
-
Lcc: QA613.2 .L56 1995
-
Dpi: 300
-
Org File Size: 4,948,171
-
Extension: djvu