Ordered groups, eigenvalues, knots, surgery and L-spaces

DOI10.1017/S0305004111000557zbMath1241.57014arXiv1004.3615OpenAlexW2963446385MaRDI QIDQ3108526

Adam Clay, Dale P. O. Rolfsen

Publication date: 4 January 2012

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.3615

zbMATH Keywords

eigenvaluefundamental groupsurgery\(L\)-spaceHeegaard-Floer homologybi-orderable groupfibred knot

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Floer homology (57R58) Ordered groups (group-theoretic aspects) (20F60)

Related Items (15)

Generalized torsion and Dehn filling ⋮ Generalized torsion for knots with arbitrarily high genus ⋮ Generalized torsion for hyperbolic 3‐manifold groups with arbitrary large rank ⋮ Residual nilpotence and ordering in one-relator groups and knot groups ⋮ Generalized torsion elements in the fundamental groups of 3-manifolds obtained by 0-surgeries along some double twist knots ⋮ Knot groups, quandle extensions and orderability ⋮ Generalized torsion, unique root property and Baumslag-Solitar relation for knot groups ⋮ Generalized torsion elements in the fundamental groups of once punctured torus bundles ⋮ Unnamed Item ⋮ A family of bi-orderable non-fibered 2-bridge knot groups ⋮ Invariant ordering of groups and topology ⋮ Foliations, orders, representations, L-spaces and graph manifolds ⋮ Generalized torsion elements in the knot groups of twist knots ⋮ Ordered groups, knots, braids and hyperbolic 3-manifolds ⋮ Low-dimensional topology and ordering groups

Cites Work

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• Laminations and groups of homeomorphisms of the circle
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• On knot Floer homology and lens space surgeries
• Invariant ordering of surface groups and 3-manifolds which fibre over $S^1$
• Speculations Concerning the Range of Mahler's Measure
• Braid Groups and Left Distributive Operations
• The Lehmer Polynomial and Pretzel Links
• On orderability of fibred knot groups
• Infinitely many hyperbolic 3-manifolds which contain no Reebless foliation

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