An algebra of observables for cross ratios

DOI10.1016/j.crma.2010.03.012zbMath1191.53054OpenAlexW1996487132MaRDI QIDQ974009

François Labourie

Publication date: 26 May 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.03.012

zbMATH Keywords

Poisson algebrasalgebra of observablescross ratios

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55)

Related Items (2)

Goldman algebra, opers and the swapping algebra ⋮ Rank \(N\) swapping algebra for \({\operatorname{PGL}}_n\) Fock-Goncharov \(\mathcal{X}\) moduli space

Cites Work

• Cross ratios, surface groups, \(\text{PSL}(n,\mathbb R)\) and diffeomorphisms of the circle
• The symplectic nature of fundamental groups of surfaces
• Separability properties of free groups and surface groups
• Lie groups and Teichmüller space
• Lectures on classical \(W\)-algebras
• Moduli spaces of local systems and higher Teichmüller theory
• Anosov flows, surface groups and curves in projective space
• The geometry of the KdV equation
• The Yang-Mills equations over Riemann surfaces

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