Annular and boundary reducing Dehn fillings
Cameron McA. Gordon, Ying-Qing Wu
Abstract
A manifold M is simple if it contains no essential disk, sphere, annulus or torus. If M is simple and two Dehn fillings M(r1), M(r2) are nonsimple, then there is an upper bound on Δ(r1,r2), the geometric intersection number between r1 and r2. There are 10 possibilities, depending on the types of M(ri). In this paper it will be shown that if M(r1) contains an essential disk and M(r2) contains an essential annulus, then Δ(r1,r2) is at most two. This completes the determination of the best possible upper bounds on Δ(r1, r2) for all ten cases.
Create a lesson
Related papers
Mapping class groups have a unique Polish group structure
Tyrone Ghaswala, Sumun Iyer, Robert Alonzo Lyman et al.
Around the Andreadakis-Johnson filtration
Yusuke Kuno
Mapping class groups of simply connected closed spin 5-manifolds with no 2- and 3-torsion in homology
Huize Jin
A note on surfaces with large systoles
Yifei Cai
Real ideal points, Conway spheres, and left-orderable Dehn fillings
Yi Wang
All once-extended 3D TQFTs are Reshetikhin--Turaev theories
Glen Lim