Three-Manifolds Having Complexity At Most 9

DOI10.1080/10586458.2001.10504444zbMath1050.57018arXivmath/0005104OpenAlexW2001072494MaRDI QIDQ4736651

Carlo Petronio, Bruno Martelli

Publication date: 5 August 2004

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005104

zbMATH Keywords

volumecomplexityalgorithmhyperbolicspine3-manifoldgraph manifoldassembling

Mathematics Subject Classification ID

Related Items (25)

STRUCTURES OF SMALL CLOSED NON-ORIENTABLE 3-MANIFOLD TRIANGULATIONS ⋮ Computing Matveev's complexity of non-orientable 3-manifolds via crystallization theory ⋮ Building three-dimensional differentiable manifolds numerically ⋮ Unnamed Item ⋮ Estimating Matveev's complexity via crystallization theory ⋮ Non-orientable 3-manifolds of small complexity ⋮ Moves for standard skeleta of 3-manifolds with marked boundary ⋮ A CATALOGUE OF ORIENTABLE 3-MANIFOLDS TRIANGULATED BY 30 COLORED TETRAHEDRA ⋮ Complexity computation for compact 3-manifolds via crystallizations and Heegaard diagrams ⋮ \(\mathbb Z_2\)-Thurston norm and complexity of 3-manifolds ⋮ 3-manifolds efficiently bound 4-manifolds ⋮ Dehn surgeries on the figure eight knot: an upper bound for complexity ⋮ New aspects of complexity theory for 3-manifolds ⋮ Inflations of ideal triangulations ⋮ FACE PAIRING GRAPHS AND 3-MANIFOLD ENUMERATION ⋮ Complexity of geometric three-manifolds ⋮ Complexity of PL manifolds ⋮ Classifying genus two 3-manifolds up to 34 tetrahedra ⋮ Spines and topology of thin Riemannian manifolds ⋮ Computing Matveev's complexity via crystallization theory: the orientable case ⋮ A new approach to crushing 3-manifold triangulations ⋮ NON-ORIENTABLE 3-MANIFOLDS ADMITTING COLORED TRIANGULATIONS WITH AT MOST 30 TETRAHEDRA ⋮ On reduced complexity of closed piecewise linear 5-manifolds ⋮ Hyperbolic 3-manifolds with geodesic boundary: enumeration and volume calculation ⋮ The simplicial volume of 3-manifolds with boundary

Uses Software

• SnapPea

Cites Work

• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• A finite graphic calculus for 3-manifolds
• A census of cusped hyperbolic 3-manifolds
• Symmetries, Isometries and Length Spectra of Closed Hyperbolic Three-Manifolds

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