Marissa Loving

collaborators

6 papers

math.GT2026

Every Weak Perron Number is an End-Periodic Stretch Factor

Paige Hillen, Marissa Loving, Chenxi Wu

Given any weak Perron number $I^»$ , we construct an end-periodic homeomorphism $f : I^£ \to I^£$ with Handel-Miller stretch factor equal to $I^»$ where $I^£$ is a connected infinit…

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…

math.GT2025

Volumes of end-periodic mapping tori

Marissa Loving

In this expository paper, we provide an intuition and illustration-driven overview of two recent results that tie the dynamics of certain homeomorphisms of infinite-type surfaces,…

math.GT2025

A lower bound on volumes of end-periodic mapping tori

Elizabeth Field, Autumn Kent, Christopher Leininger +1

We provide a lower bound on the volume of the compactified mapping torus of a strongly irreducible end-periodic homeomorphism f. This result, together with work of Field, Kim, Lein…

math.GT2025

The arc complex is not quasi-isometric to the sphere complex

Tarik Aougab, Marissa Loving

We show that the arc complex $A (S_{g, 1})$ is not quasi-isometric to the sphere complex $S_{2 g}$ associated to the double of a genus $2 g$ handlebody. Along the wa…

math.GT2025

A lower bound on end-periodic stretch factors

Marissa Loving, Chenxi Wu

Given an end-periodic homeomorphism $f : S \to S$ we give a lower bound on the Handel--Miller stretch factor of $f$ in terms of the core characteristic of $f$ , which is a measure of…