ENGLISH

Gems, Computers, and Attractors for 3-manifolds

By S¢stenes Lins

Book information

Publisher
World Scientific
Year
1995
ISBN
9789810219079, 9810219075
Google Books ID
2TNqDQAAQBAJ
Language
english
Format
DJVU
Filesize
5 MB (4948165 bytes)
Pages
468\468
DPI
300
Time added
2024-08-02 11:55:38

Description

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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