English

On left-orderability and cyclic branched coverings

Geometric Topology 2013-11-21 v2

Abstract

In a recent paper Y. Hu has given a sufficient condition for the fundamental group of the r-th cyclic branched covering of S^3 along a prime knot to be left-orderable in terms of representations of the knot group. Applying her criterion to a large class of two-bridge knots, we determine a range of the integer r>1 for which the r-th cyclic branched covering of S^3 along the knot is left-orderable.

Keywords

Cite

@article{arxiv.1311.4262,
  title  = {On left-orderability and cyclic branched coverings},
  author = {Anh T. Tran},
  journal= {arXiv preprint arXiv:1311.4262},
  year   = {2013}
}

Comments

9 pages, 1 figure

R2 v1 2026-06-22T02:09:15.989Z