4 citations · 5 across the 4 of their papers we have counts for
5 papers
The Dehn twist coefficient for big and small mapping class groups
Peter Feller, Diana Hubbard, Hannah Turner
We study a quasimorphism, which we call the Dehn twist coefficient (DTC), from the mapping class group of a surface (with a chosen compact boundary component) that generalizes the…
On slice pretzel links
Sophia Fanelle, Evan Huang, Ben Huenemann +3
A link is called slice if it bounds a smooth properly embedded surface in the 4-ball with no closed components and Euler characteristic 1. If a link has a single component, the…
Unknotting via null-homologous twists and multi-twists
Samantha Allen, Kenan Ince, Seungwon Kim +2
The untwisting number of a knot K is the minimum number of null-homologous twists required to convert K to the unknot. Such a twist can be viewed as a generalization of a crossing…
Links all of whose cyclic branched covers are L-spaces
Ahmad Issa, Hannah Turner
We show that for the pretzel knots , the -fold cyclic branched covers are L-spaces for all . In addition, we show that the knots with …
Braids, fibered knots, and concordance questions
Diana Hubbard, Keiko Kawamuro, Feride Ceren Kose +5
Given a knot in , one can associate to it a surface diffeomorphism in two different ways. First, an arbitrary knot in can be represented by braids, which can be though…