On left-orderability and cyclic branched coverings

2013/11/18 by Tran, Anh T. · 1 citation
#57M27 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1311.4262

Abstract

In a recent paper Y. Hu has given a sufficient condition for the fundamental group of the r-th cyclic branched covering of S³ 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 S³ along the knot is left-orderable.

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