Faye Jackson

collaborators

3 papers

math.GT2026

Universal braids for elliptic fibrations: from character varieties to Coxeter's factor groups

Faye Jackson

Let $π : M \to B$ be an elliptic fibration over $B = D^{2}$ or $B = S^{2}$ with $n$ nodal fibers over $Δ \subseteq B$ . We study the universal liftable braids for $π$ : those braids that a…

math.GT2025

How large is the braid monodromy of low-genus Lefschetz fibrations?

Faye Jackson

Given a genus $g$ smooth Lefschetz fibration $π : M \to S^{2}$ with singular locus $Δ \subseteq S^{2}$ , we describe the subgroup $Br (π)$ of the spherical braid group $\ope…

math.GT2025

Torsion in the Braid Monodromy of Elliptic Fibrations

Faye Jackson

Given an elliptic fibration $π : M \to S^{2}$ with singular locus $Δ \subseteq S^{2}$ , let $Br (π) < Mod (S^{2}, Δ)$ be the subgroup of the spherical braid group…