Constructing endperiodic loxodromics of infinite-type arc graphs
Priyam Patel, Samuel J. Taylor
TL;DR
This paper establishes general conditions for creating endperiodic homeomorphisms that act loxodromically on arc graphs of infinite-type surfaces, advancing understanding of their geometric and dynamical properties.
Contribution
It introduces new criteria for constructing endperiodic homeomorphisms with loxodromic actions on arc graphs of infinite-type surfaces.
Findings
Provides conditions for endperiodic homeomorphisms to act loxodromically
Enhances understanding of infinite-type surface dynamics
Lays groundwork for further geometric group theory studies
Abstract
We give general conditions to produce endperiodic homeomorphisms that act loxodromically on various arc graphs of infinite-type surfaces.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · Mathematics and Applications