3 papers
math.GT2026
A Combinatorial Characterization of Sol 3-Manifolds
Daryl Cooper, Leslie Mavrakis, Priyam Patel
We show that there is a universal compact branched 3-manifold such that a closed 3-manifold immerses into if and only if admits a Sol structure. Equivalently, a clo…
math.GT2026
Combinatorial Characterizations and Branched Manifolds
Daryl Cooper, Leslie Mavrakis, Priyam Patel
A family of compact n-manifolds is locally combinatorially defined (LCD) if it can be specified by a finite number of local triangulations. We show that LCD is equivalent to the ex…
math.GT2026
A new construction of subgroups of big mapping class groups
Carolyn R. Abbott, Hannah Hoganson, Marissa Loving +2
We explicitly construct new subgroups of the mapping class groups of an uncountable collection of infinite-type surfaces, including, but not limited to, free groups, Baumslag-Solit…