The University of Montana
Department of Mathematical Sciences

Technical report #24/2011

CLOSED SURFACES AND CHARACTER VARIETIES

ERIC CHESEBRO

Abstract

We give some algebraic characterizations for when the character variety techniques of Culler and Shalen can be used to construct a closed essential surface in a knot manifold.

Keywords: 3-manifold, knot, character variety, essential surface

AMS Subject Classification: 57M27

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