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The left-orderability and the cyclic branched coverings
by
Ying Hu
Louisiana State University
We give a sufficient condition for the fundamental group of the nth cyclic branched covering of S3 along a prime knot K to be left-orderable in terms of representations of the knot group. As an application, we show that for any (p, q) two-bridge knot, with p ≡ 3 mod 4, there are only finitely many cyclic branched coverings whose fundamental groups are not left-orderable. This answers a question posed by D abkowski, Przytycki and Togha.
Date received: November 9, 2013
Copyright © 2013 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbid-06.