Special Issue for Tim Cochran; Guest Editors: J. E. Grigsby, S. Harvey, K. Orr and D. RubermanNo Access

Riley's conjecture on SL(2,R) representations of 2-bridge knots

C. McA. Gordon

Department of Mathematics, The University of Texas at Austin, 1 University Station C1200, Austin, TX 78712-0257, USA

https://doi.org/10.1142/S021821651740003XCited by:10 (Source: Crossref)

Abstract

We prove a conjecture of Riley on $SL (2, ℝ)$ representations of 2-bridge knot groups. As a consequence we show that if $K$ is a 2-bridge knot with non-zero signature, then the fundamental group of the $n$ -fold cyclic branched cover of $K$ is left-orderable for $n$ sufficiently large.

Dedicated to the Memory of Tim Cochran

Keywords:

AMSC: 57M25, 57M12

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