Skein and cluster algebras of unpunctured surfaces for \({\mathfrak{sl}}_3\)
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Publication:2686989
DOI10.1007/s00209-023-03208-7OpenAlexW4321448454MaRDI QIDQ2686989
Tsukasa Ishibashi, Wataru Yuasa
Publication date: 1 March 2023
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.00643
Cluster algebras (13F60) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)
Related Items
\(\mathscr{A} = \mathscr{U}\) for cluster algebras from moduli spaces of \(G\)-local systems, Quantum traces for \(\operatorname{SL}_n (\mathbb{C})\): the case \(n = 3\), Triangular decomposition of \(\mathrm{SL}_3\) skein algebras, Tropical Fock–Goncharov coordinates for -webs on surfaces I: construction
Cites Work
- Unnamed Item
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- Tensor diagrams and cluster algebras
- Skein and cluster algebras of marked surfaces
- \(\mathcal A = \mathcal U\) for locally acyclic cluster algebras
- Positivity for cluster algebras from surfaces
- Quantum traces for representations of surface groups in SL\(_{2}(\mathbb C)\)
- A duality map for quantum cluster varieties from surfaces
- The quantum dilogarithm and representations of quantum cluster varieties
- Rings of \(SL_2(\mathbb{C})\)-characters and the Kauffman bracket skein module
- Homfly polynomial via an invariant of colored plane graphs
- Triangular decomposition of skein algebras
- Donaldson-Thomas transformations of moduli spaces of G-local systems
- Cluster algebras. III: Upper bounds and double Bruhat cells.
- On skein algebras and \(Sl_2(\mathbb{C})\)-character varieties
- Spiders for rank 2 Lie algebras
- \(\mathrm{SU}(3)\)-skein algebras and webs on surfaces
- Stated skein algebras of surfaces
- The skein algebra of arcs and links and the decorated Teichmüller space
- Confluence theory for graphs
- Jones-Wenzl idempotents for rank 2 simple Lie algebras
- Quantum cluster algebras.
- Moduli spaces of local systems and higher Teichmüller theory
- Skein theory for \(SU(n)\)-quantum invariants
- Cluster algebras I: Foundations
- Webs on surfaces, rings of invariants, and clusters
- Positive basis for surface skein algebras
- Cluster ensembles, quantization and the dilogarithm
- UNDERSTANDING THE KAUFFMAN BRACKET SKEIN MODULE
- Skein algebras of surfaces
- QUANTUM TEICHMÜLLER SPACES AND QUANTUM TRACE MAP
- Bases for cluster algebras from surfaces
- Duals of Semisimple Poisson–Lie Groups and Cluster Theory of Moduli Spaces of G-local Systems
- CLUSTER STRUCTURES ON HIGHER TEICHMULLER SPACES FOR CLASSICAL GROUPS
