STRUCTURES OF SMALL CLOSED NON-ORIENTABLE 3-MANIFOLD TRIANGULATIONS

DOI10.1142/S0218216507005439zbMath1133.57014arXivmath/0311113MaRDI QIDQ3447040

Benjamin A. Burton

Publication date: 28 June 2007

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311113

zbMATH Keywords

3-manifoldminimal triangulationcensus

Mathematics Subject Classification ID

Triangulating manifolds (57Q15) Software, source code, etc. for problems pertaining to manifolds and cell complexes (57-04)

Related Items

Algorithms and Complexity for Turaev-Viro Invariants ⋮ Courcelle's theorem for triangulations ⋮ Estimating Matveev's complexity via crystallization theory ⋮ A CATALOGUE OF ORIENTABLE 3-MANIFOLDS TRIANGULATED BY 30 COLORED TETRAHEDRA ⋮ A polynomial-time algorithm to compute Turaev-Viro invariants \(\mathrm{TV}_{4,q}\) of 3-manifolds with bounded first Betti number ⋮ A census of genus-two 3-manifolds up to 42 coloured tetrahedra ⋮ 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 ⋮ Introducing Regina, The 3-Manifold Topology Software ⋮ Algorithms and complexity for Turaev-Viro invariants

Uses Software

• Regina
• SnapPea

Cites Work

• P.l. homeomorphic manifolds are equivalent by elementary shellings
• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• Non-orientable 3-manifolds of small complexity
• Complexity of geometric three-manifolds
• Non-orientable 3-manifolds of complexity up to 7
• 0-efficient triangulations of 3-manifolds
• A census of cusped hyperbolic 3-manifolds
• FACE PAIRING GRAPHS AND 3-MANIFOLD ENUMERATION
• Three-Manifolds Having Complexity At Most 9
• Introducing Regina, The 3-Manifold Topology Software

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