On a structure of random open books and closed braids

Abstract

A result of Malyutin shows that a random walk on the mapping class group gives rise to an element whose fractional Dehn twist coefficient is large or small enough. We show that this leads to several properties of random 3-manifolds and links. For example, random closed braids and open books are hyperbolic.

4 pages, no figure. Theorem 5 is added

References in corpus (2)

• Right-veering diffeomorphisms of compact surfaces with boundary II
• Essential open book foliation and fractional Dehn twist coefficient

Cited by in corpus (2)

• Models of Random Knots
• On the question of genericity of hyperbolic knots