Strong positivity for the skein algebras of the 4-punctured sphere and of the 1-punctured torus
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Publication:2684490
DOI10.1007/s00220-022-04512-9OpenAlexW3083271083MaRDI QIDQ2684490
Publication date: 16 February 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.02266
Surfaces and higher-dimensional varieties (14Jxx) Quantum field theory; related classical field theories (81Txx) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)
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Cites Work
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- Chern-Simons theory and S-duality
- Gauge theory loop operators and Liouville theory
- Multicurves and regular functions on the representation variety of a surface in \(SU(2)\)
- Stable logarithmic maps to Deligne-Faltings pairs. II
- Comparison theorems for Gromov-Witten invariants of smooth pairs and of degenerations
- Quantum holonomies from spectral networks and framed BPS states
- Quantum traces for representations of surface groups in SL\(_{2}(\mathbb C)\)
- From real affine geometry to complex geometry
- A duality map for quantum cluster varieties from surfaces
- Monodromy problem and the boundary condition for some Painlevé equations
- Mirror symmetry for log Calabi-Yau surfaces. I
- Zhedanov's algebra \(AW(3)\) and the double affine Hecke algebra in the rank one case. II. The spherical subalgebra
- Dynamics on character varieties and Malgrange irreducibility of Painlevé VI equation
- Mirror symmetry for \(\mathbb P^2\) and tropical geometry
- Quantum traces in quantum Teichmüller theory
- The tropical vertex
- State models and the Jones polynomial
- Rings of Fricke characters and automorphism groups of free groups
- The dyon spectra of finite gauge theories
- Rings of \(SL_2(\mathbb{C})\)-characters and the Kauffman bracket skein module
- Difference Fourier transforms for nonreduced root systems
- Constraints on the BPS spectrum of \({\mathcal N}=2, D=4\) theories with ADE flavor symmetry.
- Monopoles, duality and chiral symmetry breaking in \(N=2\) supersymmetric QCD
- Triangular decomposition of skein algebras
- Affine cubic surfaces and character varieties of knots
- Tropical refined curve counting from higher genera and lambda classes
- Curves in Calabi-Yau threefolds and topological quantum field theory
- \(N=4\) dualities
- On skein algebras and \(Sl_2(\mathbb{C})\)-character varieties
- Nonsymmetric Koornwinder polynomials and duality
- \(F\)-theory and orientifolds
- Mirror symmetry is \(T\)-duality
- Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
- The quantum tropical vertex
- Khovanov homology and categorification of skein modules
- Strong positivity for quantum theta bases of quantum cluster algebras
- The higher-dimensional tropical vertex
- DAHA and skein algebra of surfaces: double-torus knots
- Supersymmetric gauge theories, quantization of \(\mathcal{M}_{\text{flat}}\), and conformal field theory
- Framed BPS states
- The universal Askey-Wilson algebra and DAHA of type \((C_{1}^{\vee },C_{1})\)
- Moduli spaces of local systems and higher Teichmüller theory
- Note on character varieties and cluster algebras
- Line operators in theories of class \( \mathcal{S} \), quantized moduli space of flat connections, and Toda field theory
- Double affine Hecke algebras and generalized Jones polynomials
- Block–Göttsche invariants from wall-crossing
- Positive basis for surface skein algebras
- Shear coordinate description of the quantized versal unfolding of aD4singularity
- Canonical bases for cluster algebras
- On Non-Commutative Analytic Spaces Over Non-Archimedean Fields
- Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces
- Cluster ensembles, quantization and the dilogarithm
- A polynomial invariant for knots via von Neumann algebras
- Skein quantization of Poisson algebras of loops on surfaces
- Combinatorics of Train Tracks. (AM-125)
- The Topology of the Relative Character Varieties of a Quadruply-Punctured Sphere
- Skein modules and the noncommutative torus
- Skein algebras of surfaces
- On Positivity of Kauffman Bracket Skein Algebras of Surfaces
- Birational invariance in logarithmic Gromov–Witten theory
- Multiplicative structure of Kauffman bracket skein module quantizations
- Logarithmic Gromov-Witten invariants
- Kauffman skein algebras and quantum Teichmüller spaces via factorization homology
- Lower and Upper Bounds for Positive Bases of Skein Algebras
- On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere
- Theta functions on varieties with effective anti-canonical class
- Intrinsic mirror symmetry and punctured Gromov-Witten invariants
- Decomposition of degenerate Gromov–Witten invariants
- Quantum mirrors of log Calabi–Yau surfaces and higher-genus curve counting
- Chebyshev polynomials and the Frohman–Gelca formula
- Wall-Crossing Structures in Donaldson–Thomas Invariants, Integrable Systems and Mirror Symmetry
- Mirror symmetry and T-duality in the complement of an anticanonical divisor
- Scattering diagrams, theta functions, and refined tropical curve counts
- Knot invariants and topological strings.
