The area of convex projective surfaces and Fock–Goncharov coordinates

DOI10.1142/S1793525319500560zbMath1446.57016arXiv1506.08245OpenAlexW2963648227MaRDI QIDQ5115627

Ilesanmi Adeboye, Daryl Cooper

Publication date: 17 August 2020

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08245

zbMATH Keywords

areaconvex projective surfacestriangle invariant

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (4)

McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential ⋮ The Hilbert area of inscribed triangles and quadrilaterals ⋮ Entropy rigidity and Hilbert volume ⋮ Degeneration of strictly convex real projective structures on surfaces

Cites Work

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• The area of ideal triangles in Hilbert geometry
• Sur les variétés localement affines et localement projectives
• Tiling the Projective Foliation Space of a Punctured Surface
• Tessellating the Moduli Space of Strictly Convex Projective Structures on the Once-Punctured Torus
• Convex Real Projective Structures on Closed Surfaces are Closed
• Asymptotic volume on Hilbert geometries

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