On the dimension of Harer's spine for the decorated Teichmüller space

Homology Homotopy and Applications 2026 Open access

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Authors: Nestor Colin, Rita Jiménez Rolland, Porfirio L. León Álvarez, Luis Jorge Sánchez Saldaña
DOI: 10.4310/hha.2026.v28.n2.a4
Cited by: 0

Abstract

In the 1980's Harer explicitly constructed a spine for the decorated Teichmüller space of orientable surfaces with at least one puncture and negative Euler characteristic. In this paper we point out some instances where his computation of the dimension of this spine is off by 1 and give the correct dimension.

Fields of Study & Subjects

Advanced Differential Geometry Research Homotopy and Cohomology in Algebraic Topology Advanced Algebra and Geometry

Publication details

Journal / source
Homology Homotopy and Applications
Publisher
International Press of Boston
Volume
28
Issue
2
Pages
67–78
Publication date
1 January 2026
Language
EN