Persistently laminar tangles
Mark Brittenham
Abstract
A persistent lamination for a knot K is an essential lamination in the complement of the K, which remains essential after every non-trivial Dehn surgery along K. In particular, this implies that all of the Dehn surgery manifolds have universal cover R3. This paper presents a method for building tangles T with the property that every knot K obtained by tangle sum with T has a persistent lamination. A natural generalization to 2n-string tangles is also given.
Create a lesson
Related papers
The inf spectrum of moduli space
Ara Basmajian, Sayantika Mondal, Hugo Parlier
Symplectic four-manifolds and hyperbolic π-orbifolds
Francesco Lin, Bruno Martelli
One boundary, infinitely geometries
Jiming Ma
A Counterexample to Three Conjectures of Luo
Qilong Guo
Boundary of Anosov coaffine representations
Marit Bobb, James Farre
Shake concordance in the topological concordance class of the Hopf link
Weizhe Shen