Small knot complements, exceptional surgeries and hidden symmetries

DOI10.2140/agt.2014.14.3227zbMath1310.57004arXiv1110.3863OpenAlexW3101370231MaRDI QIDQ488559

Neil R. Hoffman

Publication date: 26 January 2015

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.3863

zbMATH Keywords

hidden symmetriescommensurabilityexceptional surgeriestrace fieldknot complements

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) General geometric structures on low-dimensional manifolds (57M50) Low-dimensional topology of special (e.g., branched) coverings (57M12)

Related Items (3)

Knot complements, hidden symmetries and reflection orbifolds ⋮ Symmetries and hidden symmetries of \((\varepsilon, d_L)\)-twisted knot complements ⋮ Cusp types of quotients of hyperbolic knot complements

Uses Software

• SnapPy

Cites Work

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• Knot commensurability and the Berge conjecture
• Dehn filling of the ``magic 3-manifold
• Commensurability classes of 2-bridge knot complements
• Commensurability classes containing three knot complements
• Groups of integral representation type
• Word hyperbolic Dehn surgery
• Bounds on exceptional Dehn filling
• Compact hyperbolic tetrahedra with non-obtuse dihedral angles
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• Strong rigidity of Q-rank 1 lattices
• Orbifolds and commensurability
• A note on Trace-Fields of Kleinian Groups
• The cusped hyperbolic 3-orbifold of minimum volume
• Arithmeticity of Knot Complements

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