Measuring complexity of curves on surfaces

DOI10.1007/s10711-019-00443-3zbMath1436.57026arXiv1712.06671OpenAlexW2963469396WikidataQ128125010 ScholiaQ128125010MaRDI QIDQ2290842

Macarena Arenas, Max Neumann-Coto

Publication date: 29 January 2020

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06671

zbMATH Keywords

coveringsself-intersectionsword lengthimmersed curves on surfaces

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Generators, relations, and presentations of groups (20F05) Fundamental group, presentations, free differential calculus (57M05) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (1)

Characterizing covers via simple closed curves

Cites Work

• Geodesics with one self-intersection, and other stories
• Shortening curves on surfaces
• Building hyperbolic metrics suited to closed curves and applications to lifting simply
• On a theorem of Peter Scott
• Subgroups of Surface Groups are Almost Geometric
• Residual Finiteness of Surface Groups
• A characterization of shortest geodesics on surfaces

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