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math.GT2023
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…
math.GT2023
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…
math.GT2020
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…