Classical pretzel knots and left orderability

DOI10.1142/S0129167X21500804zbMath1479.57015arXiv2011.08668OpenAlexW3189071602MaRDI QIDQ5165511

Arafat Khan, Anh T. Tran

Publication date: 17 November 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.08668

zbMATH Keywords

representationDehn surgeryL-spacecyclic branched coverpretzel knotleft orderable group

Mathematics Subject Classification ID

Low-dimensional topology of special (e.g., branched) coverings (57M12) Knot theory (57K10)

Cites Work

• On left-orderability and cyclic branched coverings
• Left-orderable fundamental groups and Dehn surgery on genus one 2-bridge knots
• Incompressible surfaces in 2-bridge knot complements
• Right orderable groups that are not locally indicable
• Orderability and Dehn filling
• Orderable 3-manifold groups.
• On left-orderable fundamental groups and Dehn surgeries on knots
• Left-orderability and cyclic branched coverings
• On L-spaces and left-orderable fundamental groups
• On knot Floer homology and lens space surgeries
• Deformations of reducible representations of 3-manifold groups into \(\text{PSL}_2(C)\)
• Representations of the (-2,3,7)-pretzel knot and orderability of Dehn surgeries
• Nonabelian representations and signatures of double twist knots
• Riley's conjecture on SL(2,R) representations of 2-bridge knots
• Character varieties of odd classical pretzel knots
• Non-Left-Orderable 3-Manifold Groups
• Left-orderability, branched covers and double twist knots
• Left orderable surgeries of double twist knots II
• Branched covers of quasi‐positive links and L‐spaces
• Left-orderable Fundamental Group and Dehn Surgery on the Knot 5₂

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