2009/10/13 by Sung‐Mo Kang, Kang, Sungmo
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Chemical Synthesis and Analysis #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.0910.2408
openalex publication_date 2009/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
If a hyperbolic 3-manifold M admits a reducible and a finite Dehn filling, the distance between the filling slopes is known to be 1. This has been proved recently by Boyer, Gordon and Zhang. The first example of a manifold with two such fillings was given by Boyer and Zhang. In this paper, we give examples of hyperbolic manifolds admitting a reducible Dehn filling and a finite Dehn filling of every type: cyclic, dihedral, tetrahedral, octahedral and icosahedral.