Fibonacci manifolds as two-fold coverings of the three-dimensional sphere and the Meyerhoff-Neumann conjecture

DOI10.1007/BF02104848zbMath0882.57011WikidataQ122900756 ScholiaQ122900756MaRDI QIDQ1358039

Alexander Mednykh, Andrei Vesnin

Publication date: 5 March 1998

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Fibonacci groups

Mathematics Subject Classification ID

Related Items (10)

The Heegaard genus of hyperbolic 3-manifolds of small volume ⋮ On the coverings of Hantzsche-Wendt manifold ⋮ New aspects of complexity theory for 3-manifolds ⋮ ON GEHRING–MARTIN–TAN GROUPS WITH AN ELLIPTIC GENERATOR ⋮ On Jørgensen numbers and their analogs for groups of figure-eight orbifolds ⋮ Notes on More Fibonacci Groups ⋮ Volumes of two-bridge cone manifolds in spaces of constant curvature ⋮ Hyperbolic four-manifolds with vanishing Seiberg-Witten invariants ⋮ Isometries of hyperbolic Fibonacci manifolds ⋮ Fractional Fibonacci groups and manifolds

Cites Work

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• The lattice of branched covers over the figure-eight knot
• Constructions of two-fold branched covering spaces
• The \(\pi\)-orbifold group of a link
• Hyperbolic volumes of Fibonacci manifolds
• An asymptotic formula for the eta invariants of hyperbolic 3-manifolds
• On the Hantzsche-Wendt manifold
• Hyperbolic Invariants of Knots and Links
• The Fibonacci Groups F(2,2m )
• Braids, Links, and Mapping Class Groups. (AM-82)
• The Fibonacci Groups

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