On \(q\)-isomonodromic deformations and \(q\)-Nekrasov functions
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Publication:2035737
DOI10.3842/SIGMA.2021.050zbMath1467.39006arXiv2004.13916MaRDI QIDQ2035737
Publication date: 25 June 2021
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.13916
Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13) Painlevé-type functions (33E17) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56) Integrable difference and lattice equations; integrability tests (39A36)
Related Items (2)
On additional symmetry and bilinearization of the \(q\)-Painlevé systems associated with the affine Weyl group of type \(A\) ⋮ BPS quivers of five-dimensional SCFTs, topological strings and \(q\)-Painlevé equations
Cites Work
- Unnamed Item
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- The Liouville side of the vortex
- 3d and 5d gauge theory partition functions as \(q\)-deformed CFT correlators
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- On Painlevé/gauge theory correspondence
- A variation of the \(q\)-Painlevé system with affine Weyl group symmetry of type \(E_7^{(1)}\)
- Determinant structure for \(\tau\)-function of holonomic deformation of linear differential equations
- Vertices, vortices \& interacting surface operators
- Conformal field theory of Painlevé VI
- A \(q\)-analog of the sixth Painlevé equation
- Analyticity of Nekrasov partition functions
- Painlevé equations from Nakajima-Yoshioka blowup relations
- Isomonodromic tau-functions from Liouville conformal blocks
- Liouville correlation functions from four-dimensional gauge theories
- Higher-rank isomonodromic deformations and \(W\)-algebras
- Cluster Toda chains and Nekrasov functions
- Quantum curves and \(q\)-deformed Painlevé equations
- Combinatorial expressions for the tau functions of \(q\)-Painlevé V and III equations
- Quantum algebraic approach to refined topological vertex
- UC hierarchy and monodromy preserving deformation
- Instanton counting on blowup. I: 4-dimensional pure gauge theory
- How instanton combinatorics solves Painlevé VI, V and IIIs
- q-deformed Painlevéτfunction andq-deformed conformal blocks
- Affine Weyl Group Symmetry of the Garnier System
- A q-Analog of the Garnier System
- Irregular conformal blocks, with an application to the fifth and fourth Painlevé equations
- Drinfeld-Sokolov Hierarchies of Type A and Fourth Order Painleve Systems
- Variations of theq-Garnier system
- CFT approach to the q-Painlevé VI equation
- Irregular conformal blocks and connection formulae for Painlevé V functions
- A certain generalization of $q$-hypergeometric functions and their related monodromy preserving deformation
- Study of <i>q</i>-Garnier System by Padé Method
- A class of higher order Painlevé systems arising from integrable hierarchies of type 𝐴
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