Exact values of complexity for Paoluzzi-Zimmermann manifolds

DOI10.1134/S1064562411050139zbMath1234.57025arXiv1105.2542MaRDI QIDQ656398

Andrei Vesnin, Evgeny Fominykh

Publication date: 17 January 2012

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

Full work available at URL: https://arxiv.org/abs/1105.2542

Mathematics Subject Classification ID

Related Items (8)

Poor ideal three-edge triangulations are minimal ⋮ New aspects of complexity theory for 3-manifolds ⋮ On the complexity of three-dimensional cusped hyperbolic manifolds ⋮ Three-dimensional manifolds with poor spines ⋮ Cusped hyperbolic 3-manifolds of complexity 10 having maximum volume ⋮ On complexity of three-dimensional hyperbolic manifolds with geodesic boundary ⋮ Two-sided bounds for the complexity of hyperbolic three-manifolds with geodesic boundary ⋮ UPPER BOUNDS FOR THE COMPLEXITY OF TORUS KNOT COMPLEMENTS

Cites Work

• Coverings and minimal triangulations of 3-manifolds
• The smallest hyperbolic 3-manifolds with totally geodesic boundary
• The canonical decompositions of some family of compact orientable hyperbolic 3-manifolds with totally geodesic boundary
• Complexity and Heegaard genus of an infinite class of compact 3-manifolds.
• On a class of hyperbolic 3-manifolds and groups with one defining relation
• Minimal triangulations for an infinite family of lens spaces
• Algorithmic topology and classification of 3-manifolds

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