Finiteness of purely cosmetic fillings
Abstract
Abstract A pair of Dehn fillings on a compact, orientable 3-manifold M with a torus boundary $\partial M$ is said to be purely cosmetic if the resulting 3-manifolds are orientation-preservingly homeomorphic. In this article, we show that if $\partial M$ is incompressible, then there are only finitely many pairs of purely cosmetic fillings.
Fields of Study & Subjects
Geometric and Algebraic Topology
Geometric Analysis and Curvature Flows
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Canadian Mathematical Bulletin
- Pages
- 1–8
- Publication date
- 30 January 2026
- Language
- EN