Gems, Computers, And Attractors For 3-manifolds [DJVU]

Preparing link to download Please wait... Attached file not found

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

You might also like

Numerical Solution Of Partial Differential Equations In Science And Engineering 70    0

A Numerical Library In Java For Scientists And Engineers 70    0

Dirichlet And Related Distributions: Theory, Methods And Applications (wiley Series In Probability And Statistics) 158    0

Wavelets In The Geosciences 167    0

Hopf Algebras And Their Actions On Rings 77    0

Constrained Statistical Inference: Inequality, Order, And Shape Restrictions 57    0

Exponential Distribution: Theory And Methods (mathematics Research Developments) 63    0

Handbook Of Real-time Fast Fourier Transforms: Algorithms To Product Testing 59    0

Mathematics, Ideas And The Physical Real 46    0

Ampl: A Modeling Language For Mathematical Programming 137    0