Two-sided bounds for the complexity of hyperbolic three-manifolds with geodesic boundary

DOI10.1134/S0081543814060042zbMath1314.57018MaRDI QIDQ2514583

Andrei Vesnin, Evgeny Fominykh

Publication date: 3 February 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

volumecomplexity\(\varepsilon\)-invariant\(M_{n,k}^d\)generalized Thurston and Paoluzzi-Zimmermann manifolds

Mathematics Subject Classification ID

Related Items (2)

New aspects of complexity theory for 3-manifolds ⋮ Three-dimensional manifolds with poor spines

Cites Work

• Unnamed Item
• Unnamed Item
• Coverings and minimal triangulations of 3-manifolds
• Dehn surgeries on the figure eight knot: an upper bound for complexity
• Exact values of complexity for Paoluzzi-Zimmermann manifolds
• Two-sided bounds for the complexity of cyclic branched coverings of two-bridge links
• Complexity of 3-dimensional manifolds: exact values and estimates
• On complexity of three-dimensional hyperbolic manifolds with geodesic boundary
• Dehn filling of cusped hyperbolic \(3\)-manifolds with 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
• UPPER BOUNDS FOR THE COMPLEXITY OF TORUS KNOT COMPLEMENTS
• Minimal triangulations for an infinite family of lens spaces
• TWO-SIDED ASYMPTOTIC BOUNDS FOR THE COMPLEXITY OF SOME CLOSED HYPERBOLIC THREE-MANIFOLDS
• Nikolai Ivanovich Lobachevskii (on the bicentenary of his birth)
• Small Hyperbolic 3-Manifolds With Geodesic Boundary
• Tabulation of three-dimensional manifolds
• Algorithmic topology and classification of 3-manifolds

This page was built for publication: Two-sided bounds for the complexity of hyperbolic three-manifolds with geodesic boundary