Riley's conjecture on SL(2,R) representations of 2-bridge knots
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Publication:2969697
DOI10.1142/S021821651740003XzbMath1362.57006arXiv1602.02787OpenAlexW2963771876WikidataQ123017828 ScholiaQ123017828MaRDI QIDQ2969697
Publication date: 23 March 2017
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.02787
2-bridge knot\(\mathrm{SL}(2,\mathbb R)\) parabolic representationcyclic branched covering spaceleft-orderable fundamental group
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Left orderability of cyclic branched covers of rational knots \(C(2n+1,2m,2)\) ⋮ Left orderability and cyclic branched coverings of rational knots C(2p,2m,2n + 1) ⋮ Residual torsion-free nilpotence, biorderability and pretzel knots ⋮ Links all of whose cyclic‐branched covers are L‐spaces ⋮ On \(SL(2, \mathbb{C})\)-representations of torus knot groups ⋮ Left-orderability, branched covers and double twist knots ⋮ Orderability and Dehn filling ⋮ Classical pretzel knots and left orderability ⋮ Farey recursion and the character varieties for 2-bridge knots ⋮ Taut foliations in branched cyclic covers and left-orderable groups
Cites Work
- Fourfold cyclic branched covers of genus one two-bridge knots are \(L\)-spaces
- Taut foliations, left-orderability, and cyclic branched covers
- On left-orderability and cyclic branched coverings
- Left-orderability and cyclic branched coverings
- On L-spaces and left-orderable fundamental groups
- Nonabelian representations and signatures of double twist knots
- Signatures in algebra, topology and dynamics
- NONABELIAN REPRESENTATIONS OF 2-BRIDGE KNOT GROUPS
- A Partial Order in the Knot Table
- Corrigendum
- Epimorphisms between 2-bridge link groups
- On a Certain Numerical Invariant of Link Types
- Parabolic Representations of Knot Groups, I
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