Topology Atlas | Conferences

Knots in Washington XXXVII
January 19-20, 2014
George Washington University
Washington, DC, USA

Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU and UMCP), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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The left-orderability and the cyclic branched coverings
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.