Work

A spine for the decorated Teichmüller space of a punctured non‐orientable surface

Year: 2025

Type: article

Abstract: Building on work of Harer, we construct a spine for the decorated Teichmüller space of a non‐orientable surface with at least one puncture and negative Euler characteristic. We compute its dimension, and show that the deformation retraction onto this spine is equivariant with respect to the pure mapping class group of the non‐orientable surface. As a consequence, we obtain a model for the classifying space for proper actions of the pure mapping class group of a punctured non‐orientable surface, which is of minimal dimension in the case there is a single puncture.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70228

Authors: Nestor Colin, Rita Jiménez Rolland, Porfirio L. León Álvarez, Luis Jorge Sánchez Saldaña

Institution: Universidad Nacional Autónoma de México

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México

Award: G6774984000