On left-orderability and cyclic branched coverings

Anh T. Tran

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arXiv · 1311.4262

On left-orderability and cyclic branched coverings

Anh T. Tran

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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.

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Anh T. Tran. 2013-11-18. On left-orderability and cyclic branched coverings. https://arxiv.org/abs/1311.4262

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