Character varieties of mutative 3–manifolds

Tillmann, Stephan

doi:10.2140/agt.2004.4.133

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Character varieties of mutative 3–manifolds

Stephan Tillmann

Algebraic & Geometric Topology 4 (2004) 133–149

DOI: 10.2140/agt.2004.4.133

arXiv: math.GT/0306053

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

Mathematical Subject Classification 2000

Primary: 57M27

Secondary: 14E07

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Publication

Received: 12 August 2003

Revised: 21 January 2004

Accepted: 9 February 2004

Published: 23 March 2004

Authors

Stephan Tillmann
Départment de mathématiques Université du Québec à Montréal Case postale 8888 Succursale Centre-Ville Montréal (Québec) Canada H3C 3P8

Volume 4, issue 1 (2004)