Extended Goldman symplectic structure in Fock-Goncharov coordinates
From MaRDI portal
Publication:6168530
DOI10.4310/jdg/1689262061zbMath1528.53076arXiv1910.06744OpenAlexW2981005749MaRDI QIDQ6168530
Dmitry Korotkin, Marco Bertola
Publication date: 9 August 2023
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.06744
surfaceflat connectioncharacter varietyFock-Goncharov coordinatesAtiyah-Bott-Goldman symplectic formGoldman symplectic formGoldman Poisson bracket
Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Algebraic moduli problems, moduli of vector bundles (14D20) General geometric structures on low-dimensional manifolds (57M50) Symplectic structures of moduli spaces (53D30)
Related Items
On the tau function of the hypergeometric equation ⋮ Monodromy dependence and symplectic geometry of isomonodromic tau functions on the torus ⋮ Higgs fields, non-abelian Cauchy kernels and the Goldman symplectic structure ⋮ Generating Function of Monodromy Symplectomorphism for 2 × 2 Fuchsian Systems and Its WKB Expansion
Cites Work
- Unnamed Item
- Unnamed Item
- Flows on the PGL(V)-Hitchin component
- Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces
- Quasi-Hamiltonian geometry of meromorphic connections
- The quantum dilogarithm and representations of quantum cluster varieties
- On the symplectic geometry of deformations of a hyperbolic surface
- The symplectic nature of fundamental groups of surfaces
- Invariant functions on Lie groups and Hamiltonian flows of surface group representations
- The decorated Teichmüller space of punctured surfaces
- Weil-Petersson volumes
- Lie group valued moment maps
- Extended moduli spaces of flat connections on Riemann surfaces
- The symplectic global coordinates on the moduli space of real projective structures.
- Coordinates for the moduli space of flat PSL\((2,\mathbb{R})\)-connections
- Symplectic structure of the moduli space of flat connection on a Riemann surface
- Hodge and Prym tau functions, Strebel differentials and combinatorial model of \({\mathcal{M}}_{g,n} \)
- Symplectic structures on Teichmüller spaces \(\mathfrak{T}_{g,s,n}\) and cluster algebras
- Tau-functions and monodromy symplectomorphisms
- Moduli spaces of local systems and higher Teichmüller theory
- Correction to: ``The dependence on the monodromy data of the isomonodromic tau function
- Lectures and notes: Mirzakhani's volume recursion and approach for the Witten-Kontsevich theorem on moduli tautological intersection numbers
- Poisson geometry of 𝑆𝐿(3,ℂ)-character varieties relative to a surface with boundary
- On the Weil-Petersson Geometry of the Moduli Space of Curves
- Introduction to Classical Integrable Systems
- A quantum Teichmüller space
