Work

Strip deformations of decorated hyperbolic polygons

Year: 2024

Type: article

Abstract: In this paper, we study the hyperbolic and parabolic strip deformations of ideal (possibly once‐punctured) hyperbolic polygons whose vertices are decorated with horoballs. We prove that the interiors of their arc complexes parametrise the open convex set of all uniformly lengthening infinitesimal deformations of the decorated hyperbolic metrics on these surfaces, motivated by the work of Danciger–Guéritaud–Kassel. We also give a version of this result for the undecorated ideal polygons and once‐punctured ideal polygons.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.13002

Author: Pallavi Panda

Institution: Université de Lille

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Université du Luxembourg, Université de Lille, Fonds National de la Recherche Luxembourg

Awards: G4651553788, G5055414528