Resurgent structure of the topological string and the first Painlevé equation
DOI10.3842/SIGMA.2024.028MaRDI QIDQ6491131
Publication date: 24 April 2024
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Topological field theories in quantum mechanics (81T45) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)
Cites Work
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- Theta series, wall-crossing and quantum dilogarithm identities
- Spectral networks
- Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces
- Borel and Stokes nonperturbative phenomena in topological string theory and \(c=1\) matrix models
- Divergent series, summability and resurgence I. Monodromy and resurgence
- Remodeling the B-model
- Moduli spaces for linear differential equations and the Painlevé equations
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- Quasi-Hamiltonian geometry of meromorphic connections
- Invariants of algebraic curves and topological expansion
- Voros resurrection and periods of hyperelliptic curves
- Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
- On Painlevé/gauge theory correspondence
- Non-perturbative quantum mechanics from non-perturbative strings
- Reconstructing WKB from topological recursion
- Riemann-Hilbert problems from Donaldson-Thomas theory
- Conformal field theory of Painlevé VI
- Matrix models, topological strings, and supersymmetric gauge theories
- \(c=1\) string as the topological theory of the conifold
- Wall-crossing, Hitchin systems, and the WKB approximation
- BPS relations from spectral problems and blowup equations
- Topological recursion and uncoupled BPS structures. I: BPS spectrum and free energies
- 2-parameter \(\tau\)-function for the first Painlevé equation: topological recursion and direct monodromy problem via exact WKB analysis
- Tau-functions and monodromy symplectomorphisms
- Nonperturbative aspects of ABJM theory
- Resurgent transseries and the holomorphic anomaly: nonperturbative closed strings in local \(\mathbb{CP}^2\)
- Quadratic differentials as stability conditions
- On the Borel summability of WKB solutions of certain Schrödinger-type differential equations
- Riemann-Hilbert correspondence and blown up surface defects
- Quantization of hyper-elliptic curves from isomonodromic systems and topological recursion
- Topological recursion and uncoupled BPS structures. II: Voros symbols and the \(\tau\)-function
- On the monodromy of the deformed cubic oscillator
- Mathematical structures of non-perturbative topological string theory: from GW to DT invariants
- Exact WKB analysis and cluster algebras
- Resurgence matches quantization
- Convergent Liouville–Green expansions for second-order linear differential equations, with an application to Bessel functions
- Exact semiclassical expansions for one-dimensional quantum oscillators
- Exact WKB Analysis and Cluster Algebras II: Simple Poles, Orbifold Points, and Generalized Cluster Algebras
- Quasi-linear Stokes phenomenon for the Painlevé first equation
- On the connection problem for Painlevé I
- Painlevé I and exact WKB: Stokes phenomenon for two-parameter transseries
- Resurgent transseries and the holomorphic anomaly
- Existence and uniqueness of exact WKB solutions for second-order singularly perturbed linear ODEs
- From topological recursion to wave functions and PDEs quantizing hyperelliptic curves
- Resurgent Stokes data for Painlevé equations and two-dimensional quantum (super) gravity
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