Non-left-orderability of cyclic branched covers of pretzel knots \(P(3,-3,-2k-1)\)

DOI10.3792/pjaa.98.017zbMath1506.57010arXiv2106.15582MaRDI QIDQ2679702

Lin Li, Zipei Nie

Publication date: 23 January 2023

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.15582

zbMATH Keywords

branched coverhomology sphere\(L\)-spacepretzel knotnon-left-orderable group

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Low-dimensional topology of special (e.g., branched) coverings (57M12) Knot theory (57K10)

Cites Work

• On the Heegaard Floer homology of branched double-covers
• Two-fold quasi-alternating links, Khovanov homology and instanton homology
• Non-left-orderable double branched coverings
• On L-spaces and left-orderable fundamental groups
• The lattice-ordered group of automorphisms of an ordered set
• The Double Cover of S³ Branched along a Link

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