Work

The Thurston spine and equivariant cell decompositions in genus 2

Year: 2026

Type: preprint

Abstract: The Thurston spine of the genus 2 Teichmüller space of closed compact surfaces is obtained. In particular, we identify all mapping class group-orbits of filling sets of systoles in genus 2. Thereby, surprisingly rich cases already appear in this simplest case which is genus 2. This is contrasted with a cell decomposition of a bordification of Teichmüller space obtained computationally using Rivin's angle coordinates, on which the cells are labelled by Delaunay graphs closely related to our systolic graphs.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.38254

Authors: An, Ni, Chen, Jiexing, Irmer, Ingrid, Schaller, Paul Schmutz

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7215078221

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