AGT 5 (2005) Paper 31 (Abstract)

Algebraic and Geometric Topology 5 (2005), paper no. 31, pages 741-750.

Boundary slopes (nearly) bound cyclic slopes

Thomas W. Mattman

Abstract. Let r_m and r_M be the least and greatest finite boundary slopes of a hyperbolic knot K in S^3. We show that any cyclic surgery slopes of K must lie in the interval (r_m - 1/2, r_M + 1/2).

Keywords. Dehn surgery, character variety, exceptional surgery, boundary slope

AMS subject classification. Primary: 57M25. Secondary: 57M27.

E-print: arXiv:math.GT/0407025

DOI: 10.2140/agt.2005.5.741

Submitted: 16 November 2004. Accepted: 6 March 2005. Published: 23 July 2005.

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Thomas W. Mattman
Department of Mathematics and Statistics, California State University, Chico
Chico, CA95929-0525, USA
Email: TMattman@CSUChico.edu

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