Note on character varieties and cluster algebras
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Publication:2633016
DOI10.3842/SIGMA.2019.003zbMath1437.13035arXiv1711.03379OpenAlexW2767505499MaRDI QIDQ2633016
Publication date: 8 May 2019
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.03379
Triangulating manifolds (57Q15) Teichmüller theory for Riemann surfaces (30F60) Painlevé-type functions (33E17) Cluster algebras (13F60)
Related Items
Strong positivity for the skein algebras of the 4-punctured sphere and of the 1-punctured torus, DAHA and skein algebra of surfaces: double-torus knots
Cites Work
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- DAHA-Jones polynomials of torus knots
- Representations of the Kauffman bracket skein algebra. I: Invariants and miraculous cancellations
- Skew-symmetric cluster algebras of finite mutation type
- Quantum holonomies from spectral networks and framed BPS states
- Quantum traces for representations of surface groups in SL\(_{2}(\mathbb C)\)
- Decorated Teichmüller theory
- Cluster algebras and triangulated orbifolds
- A duality map for quantum cluster varieties from surfaces
- Monodromy problem and the boundary condition for some Painlevé equations
- Skein theory and topological quantum registers: Braiding matrices and topological entanglement entropy of non-Abelian quantum Hall states
- Zhedanov's algebra \(AW(3)\) and the double affine Hecke algebra in the rank one case. II. The spherical subalgebra
- Moduli spaces for linear differential equations and the Painlevé equations
- Cluster algebras and triangulated surfaces. I: Cluster complexes
- The quantum dilogarithm and representations of quantum cluster varieties
- Ergodic theory on moduli spaces
- Quantization of Teichmüller spaces and the quantum dilogarithm
- Cluster algebras. II: Finite type classification
- An area-preserving action of the modular group on cubic surfaces and the Painlevé VI equation
- The modular group action on real \(SL(2)\)-characters of a one-holed torus
- Triangular decomposition of skein algebras
- Affine cubic surfaces and character varieties of knots
- Cluster integrable systems, \(q\)-Painlevé equations and their quantization
- Cluster algebras and Weil-Petersson forms
- On skein algebras and \(Sl_2(\mathbb{C})\)-character varieties
- A modular group action on cubic surfaces and the monodromy of the Painlevé VI equation.
- Framed BPS states
- The universal Askey-Wilson algebra and DAHA of type \((C_{1}^{\vee },C_{1})\)
- Quantum cluster algebras.
- Moduli spaces of local systems and higher Teichmüller theory
- Homological action of the modular group on some cubic moduli spaces
- Line operators in theories of class \( \mathcal{S} \), quantized moduli space of flat connections, and Toda field theory
- Cluster algebras I: Foundations
- Markov's Theorem and 100 Years of the Uniqueness Conjecture
- Teichmüller Spaces of Riemann Surfaces with Orbifold Points of Arbitrary Order and Cluster Variables
- Shear coordinate description of the quantized versal unfolding of aD4singularity
- A coalescent diagram of the Painlevé equations from the viewpoint of isomonodromic deformations
- Skein quantization of Poisson algebras of loops on surfaces
- Induced Automorphisms on Fricke Characters of Free Groups
- Painlevé Monodromy Manifolds, Decorated Character Varieties, and Cluster Algebras
- Multiplicative structure of Kauffman bracket skein module quantizations
- Cluster Ensembles, Quantization and the Dilogarithm II: The Intertwiner
- HYPERBOLIC 3-MANIFOLDS AND CLUSTER ALGEBRAS
- CLUSTER ALGEBRA AND COMPLEX VOLUME OF ONCE-PUNCTURED TORUS BUNDLES AND 2-BRIDGE LINKS
- A quantum Teichmüller space
