The University of Montana
Department of Mathematical Sciences

Technical report #11/2012

FORMULAS FOR CHARACTER VARIETIES OF 2-BRIDGE KNOTS

ERIC CHESEBRO

Abstract

We introduce the first closed-form formula for the defining polynomials for the character varieties of an infinite collection of hyperbolic knot manifolds. In particular, these knots belong to a subfamily of 2-bridge knots.

Keywords: 3-manifold, knot, character variety

AMS Subject Classification: 57M27

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