Flat \(GL(1|1)\)-connections and fatgraphs

DOI10.1016/j.geomphys.2023.104880zbMath1525.53085arXiv2208.08033MaRDI QIDQ6115697

Anton M. Zeitlin, Andrea Bourque

Publication date: 10 August 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.08033

zbMATH Keywords

character varietyfatgraphsuper Lie groupsPoisson moduli spaceflip transformationsFock-Rosly bracket

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Poisson manifolds; Poisson groupoids and algebroids (53D17) Symplectic structures of moduli spaces (53D30) Yang-Baxter equations (16T25) Discrete differential geometry (53A70)

Cites Work

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• Spectral networks and Fenchel-Nielsen coordinates
• Decorated Teichmüller theory
• The decorated Teichmüller space of punctured surfaces
• Reidemeister torsion, the Alexander polynomial and \(U(1,1)\) Chern-Simons theory
• Quantization of Teichmüller spaces and the quantum dilogarithm
• Decorated super-Teichmüller space
• \(\mathcal{N} = 2\) super-Teichmüller theory
• Constructing \(R\)-matrices on simple Lie superalgebras
• Cluster algebras with Grassmann variables
• Double dimer covers on snake graphs from super cluster expansions
• An expansion formula for decorated super-Teichmüller spaces
• On Ramond decorations
• A quantum Teichmüller space

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