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.
"Character varieties of mutative 3–manifolds." Algebr. Geom. Topol. 4 (1) 133 - 149, 2004. https://doi.org/10.2140/agt.2004.4.133