Poisson geometry of 𝑆𝐿(3,ℂ)-character varieties relative to a surface with boundary

DOI10.1090/S0002-9947-08-04777-6zbMath1171.53052arXivmath/0703251MaRDI QIDQ3625570

Sean Lawton

Publication date: 5 May 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703251

zbMATH Keywords

Poisson structuremoduli spacesPoisson geometryreducible representation

Mathematics Subject Classification ID

Moduli problems for topological structures (58D29) Algebraic moduli problems, moduli of vector bundles (14D20) Poisson manifolds; Poisson groupoids and algebroids (53D17) Symplectic structures of moduli spaces (53D30)

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The topology of moduli spaces of free group representations ⋮ Line operators in theories of class \( \mathcal{S} \), quantized moduli space of flat connections, and Toda field theory ⋮ Toda conformal blocks, quantum groups, and flat connections ⋮ Asymptotics of twisted Alexander polynomials and hyperbolic volume ⋮ The quasi-Poisson Goldman formula ⋮ Batalin-Vilkovisky structures on moduli spaces of flat connections ⋮ Extended Goldman symplectic structure in Fock-Goncharov coordinates ⋮ The topology of parabolic character varieties of free groups ⋮ Superintegrable systems on moduli spaces of flat connections ⋮ Wonderful compactification of character varieties ⋮ Character varieties ⋮ Holomorphic volume forms on representation varieties of surfaces with boundary ⋮ Dimension of representation and character varieties for two- and three-orbifolds

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