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.
Tillmann, Stephan  1
@article{10_2140_agt_2004_4_133,
author = {Tillmann, Stephan},
title = {Character varieties of mutative 3{\textendash}manifolds},
journal = {Algebraic and Geometric Topology},
pages = {133--149},
year = {2004},
volume = {4},
number = {1},
doi = {10.2140/agt.2004.4.133},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2004.4.133/}
}
Tillmann, Stephan. Character varieties of mutative 3–manifolds. Algebraic and Geometric Topology, Tome 4 (2004) no. 1, pp. 133-149. doi: 10.2140/agt.2004.4.133
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