Algebraic and Geometric Topology 4 (2004), paper no. 9, pages 133-149.

Character varieties of mutative 3--manifolds

Stephan Tillmann

Abstract. We describe a birational map between subvarieties in the character varieties of mutative 3-manifolds. By studying the birational map, one can decide in certain circumstances whether a mutation surface is detected by an ideal point of the character variety.

Keywords. 3--manifold, character variety, mutation, detection

AMS subject classification. Primary: 57M27. Secondary: 14E07.

DOI: 10.2140/agt.2004.4.133

E-print: arXiv:math.GT/0306053

Submitted: 12 August 2003. (Revised: 21 January 2004.) Accepted: 9 February 2004. Published: 23 March 2004.

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Stephan Tillmann
Department de mathematiques, Universite du Quebec a Montreal
Case postale 8888, Succursale Centre-Ville
Montreal (Quebec), Canada H3C 3P8
Email: tillmann@math.uqam.ca

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