Non-orientable 3-manifolds of small complexity
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Publication:1408722
DOI10.1016/S0166-8641(03)00043-9zbMath1029.57018arXivmath/0211092MaRDI QIDQ1408722
Gennaro Amendola, Bruno Martelli
Publication date: 25 September 2003
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0211092
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Related Items (9)
STRUCTURES OF SMALL CLOSED NON-ORIENTABLE 3-MANIFOLD TRIANGULATIONS ⋮ Computing Matveev's complexity of non-orientable 3-manifolds via crystallization theory ⋮ Estimating Matveev's complexity via crystallization theory ⋮ A CATALOGUE OF ORIENTABLE 3-MANIFOLDS TRIANGULATED BY 30 COLORED TETRAHEDRA ⋮ Complexity computation for compact 3-manifolds via crystallizations and Heegaard diagrams ⋮ FACE PAIRING GRAPHS AND 3-MANIFOLD ENUMERATION ⋮ Non-orientable 3-manifolds of complexity up to 7 ⋮ Computing Matveev's complexity via crystallization theory: the orientable case ⋮ NON-ORIENTABLE 3-MANIFOLDS ADMITTING COLORED TRIANGULATIONS WITH AT MOST 30 TETRAHEDRA
Uses Software
Cites Work
- Complexity theory of three-dimensional manifolds
- Incompressible surfaces in punctured-torus bundles
- Stiefel-Whitney surfaces and decompositions of 3-manifolds into handlebodies
- A new decomposition theorem for 3-manifolds
- Constant energy surfaces of Hamiltonian systems, enumeration of three-dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds
- A census of cusped hyperbolic 3-manifolds
- Three-Manifolds Having Complexity At Most 9
- Small Hyperbolic 3-Manifolds With Geodesic Boundary
- The Geometries of 3-Manifolds
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