Complexity of 3-manifolds

Abstract

We give a summary of known results on Matveev's complexity of compact 3-manifolds. The only relevant new result is the classification of all closed orientable irreducible 3-manifolds of complexity 10.

26 pages, 7 figures, minor corrections

References in corpus (4)

• The virtual Haken conjecture: Experiments and examples
• Structures of small closed non-orientable 3-manifold triangulations
• Towards Lower Bounds for Complexity of 3-Manifolds: a Program
• Non-orientable 3-manifolds of complexity up to 7

Cited by in corpus (7)

• Enumeration of non-orientable 3-manifolds using face pairing graphs and union-find
• Structures of small closed non-orientable 3-manifold triangulations
• The simplicial volume of 3-manifolds with boundary
• Detecting genus in vertex links for the fast enumeration of 3-manifold triangulations
• Building Three-Dimensional Differentiable Manifolds Numerically
• Moves for standard skeleta of 3-manifolds with marked boundary
• Combinatorial and geometric methods in topology