46 citations · 59 across the 5 of their papers we have counts for
5 papers
Splitting Algebraic Singular Fibrations via Perturbation of Branch Covers
Sümeyra Sakallı, Jeremy Van Horn-Morris
In a previous paper \cite{SV}, the authors studied the isolated singular fibers that can occur in algebraic fibrations of certain genus two fibrations. There the goal was to determ…
Singular fibers in algebraic fibrations of genus 2 and their monodromy factorizations
Sümeyra Sakallı, Jeremy Van Horn-Morris
Kodaira's classification of singular fibers in elliptic fibrations and its translation into the language of monodromies and Lefschetz fibrations has been a boon to the study of 4-m…
On symplectic fillings of spinal open book decompositions II: Holomorphic curves and classification
Samuel Lisi, Jeremy Van Horn-Morris, Chris Wendl
In this second paper of a two-part series, we prove that whenever a contact 3-manifold admits a uniform spinal open book decomposition with planar pages, its (weak, strong and/or e…
Positive factorizations of mapping classes
R. Inanc Baykur, Naoyuki Monden, Jeremy Van Horn-Morris
In this article, we study the maximal length of positive Dehn twist factorizations of surface mapping classes. In connection to fundamental questions regarding the uniform topology…
Planar open books, monodromy factorizations, and symplectic fillings
Olga Plamenevskaya, Jeremy Van Horn-Morris
We study fillings of contact structures supported by planar open books by analyzing positive factorizations of their monodromy. Our method is based on Wendl's theorem on symplectic…