Cyril Lecuire, Ken’Ichi Ohshika
Geometry and Topology 28(6) 2971-2999 2024年 査読有り
Thurston’s bounded image theorem is one of the key steps in his proof of the uniformisation theorem for Haken manifolds. Thurston never published its proof, and no proof has previously been known, although a proof of its weaker version, called the bounded orbit theorem, is known. We give a proof of the original bounded image theorem, relying on recent development of Kleinian group theory.