Canonical Thurston obstructions for sub-hyperbolic semi-rational branched coverings

Tao Chen, Yunping Jiang
2013 Conformal Geometry and Dynamics  
We prove that the canonical Thurston obstruction for a sub-hyperbolic semi-rational branched covering exists if the branched covering is not CLH-equivalent to a rational map.
doi:10.1090/s1088-4173-2013-00250-6 fatcat:kspzkfyaxbh4zl6pfhm3mufhle