论文信息 - Computer Recognition of Three-Manifolds

Computer Recognition of Three-Manifolds

We describe the theoretical background for a computer program that recognizes all closed orientable three-manifolds up to complexity 8. The program can treat also nonclosed threemanifolds and manifolds of greater complexity, but without necessarily succeeding in recognizing them.

Sergei Matveev | S. Matveev

[1] Sergei Matveev,et al. Complexity theory of three-dimensional manifolds , 1990, Acta Applicandae Mathematicae.

[2] P. Scott,et al. The geometries of 3-manifolds , 1983 .

[3] Friedhelm Waldhausen,et al. Eine Klasse von 3-dimensionalen Mannigfaltigkeiten. I , 1967 .

[4] W. Haken. Theorie der Normalflächen , 1961 .