Simplicial complexity of surface groups

DOI10.1017/prm.2019.67zbMath1462.53039arXiv1907.01667OpenAlexW2990160771MaRDI QIDQ4965390

Eugenio Borghini, Elias Gabriel Minian

Publication date: 1 March 2021

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01667

zbMATH Keywords

surface groupssystolic areasimplicial complexity

Mathematics Subject Classification ID

Triangulating manifolds (57Q15) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Geometric structures on manifolds of high or arbitrary dimension (57N16) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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• Wie man die geschlossenen nichtorientierbaren Flächen in möglichst wenig Dreiecke zerlegen kann
• Systolic invariants of groups and 2-complexes via Grushko decomposition
• Filling Riemannian manifolds
• Minimal triangulations on orientable surfaces
• The covering type of closed surfaces and minimal triangulations
• Systolic geometry and simplicial complexity for groups

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