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Note on character varieties and cluster algebras (Q2633016)

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Language	Label	Description	Also known as
English	Note on character varieties and cluster algebras	scientific article

Statements

scholarly article

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Note on character varieties and cluster algebras (English)

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Kazuhiro Hikami

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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications

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publication date

8 May 2019

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full work available at URL

https://arxiv.org/abs/1711.03379

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zbMATH Keywords

cluster algebra

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character variety

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Painlevé equations

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Goldman Poisson algebra

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MaRDI profile type

MaRDI publication profile

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Markov's Theorem and 100 Years of the Uniqueness Conjecture

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A duality map for quantum cluster varieties from surfaces

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Quantum cluster algebras.

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Affine cubic surfaces and character varieties of knots

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Cluster integrable systems, \(q\)-Painlevé equations and their quantization

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Quantum traces for representations of surface groups in SL\(_{2}(\mathbb C)\)

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Representations of the Kauffman bracket skein algebra. I: Invariants and miraculous cancellations

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Multiplicative structure of Kauffman bracket skein module quantizations

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A quantum Teichmüller space

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Shear coordinate description of the quantized versal unfolding of a<i>D</i><sub>4</sub>singularity

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Painlevé Monodromy Manifolds, Decorated Character Varieties, and Cluster Algebras

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Teichmüller Spaces of Riemann Surfaces with Orbifold Points of Arbitrary Order and Cluster Variables

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DAHA-Jones polynomials of torus knots

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Line operators in theories of class \( \mathcal{S} \), quantized moduli space of flat connections, and Toda field theory

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Cluster algebras and triangulated orbifolds

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Skew-symmetric cluster algebras of finite mutation type

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Moduli spaces of local systems and higher Teichmüller theory

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Cluster Ensembles, Quantization and the Dilogarithm II: The Intertwiner

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The quantum dilogarithm and representations of quantum cluster varieties

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Cluster algebras and triangulated surfaces. I: Cluster complexes

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Cluster algebras I: Foundations

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Cluster algebras. II: Finite type classification

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Quantum holonomies from spectral networks and framed BPS states

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Framed BPS states

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Cluster algebras and Weil-Petersson forms

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Ergodic theory on moduli spaces

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The modular group action on real \(SL(2)\)-characters of a one-holed torus

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Homological action of the modular group on some cubic moduli spaces

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Skein theory and topological quantum registers: Braiding matrices and topological entanglement entropy of non-Abelian quantum Hall states

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CLUSTER ALGEBRA AND COMPLEX VOLUME OF ONCE-PUNCTURED TORUS BUNDLES AND 2-BRIDGE LINKS

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Induced Automorphisms on Fricke Characters of Free Groups

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A modular group action on cubic surfaces and the monodromy of the Painlevé VI equation.

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An area-preserving action of the modular group on cubic surfaces and the Painlevé VI equation

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Monodromy problem and the boundary condition for some Painlevé equations

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Quantization of Teichmüller spaces and the quantum dilogarithm

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Zhedanov's algebra \(AW(3)\) and the double affine Hecke algebra in the rank one case. II. The spherical subalgebra

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Triangular decomposition of skein algebras

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HYPERBOLIC 3-MANIFOLDS AND CLUSTER ALGEBRAS

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A coalescent diagram of the Painlevé equations from the viewpoint of isomonodromic deformations

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Decorated Teichmüller theory

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On skein algebras and \(Sl_2(\mathbb{C})\)-character varieties

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The universal Askey-Wilson algebra and DAHA of type \((C_{1}^{\vee },C_{1})\)

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Skein quantization of Poisson algebras of loops on surfaces

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Moduli spaces for linear differential equations and the Painlevé equations

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Identifiers

zbMATH Open document ID

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10.3842/SIGMA.2019.003

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2633016

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