36 citations · 154 across the 18 of their papers we have counts for
18 papers
Resurgent Structure of the Topological String and the First Painlevé Equation
Kohei Iwaki, Marcos Marino
We present an explicit formula for the Stokes automorphism acting on the topological string partition function. When written in terms of the dual partition function, our formula im…
Topological recursion and uncoupled BPS structures II: Voros symbols and the -function
Kohei Iwaki, Omar Kidwai
We continue our study of the correspondence between BPS structures and topological recursion in the uncoupled case, this time from the viewpoint of quantum curves. For spectral cur…
Topological recursion and uncoupled BPS structures I: BPS spectrum and free energies
Kohei Iwaki, Omar Kidwai
For the hypergeometric spectral curve and its confluent degenerations (spectral curves of "hypergeometric type"), we obtain a simple formula expressing the topological recursion fr…
Witten-Reshetikhin-Turaev function for a knot in Seifert manifolds
Hiroyuki Fuji, Kohei Iwaki, Hitoshi Murakami +1
In this paper, for a Seifert loop (i.e., a knot in a Seifert three-manifold), first we give a family of an explicit function whose special values at roots of unity are id…
2-parameter -function for the first Painlevé equation -Topological recursion and direct monodromy problem via exact WKB analysis-
Kohei Iwaki
We show that a 2-parameter family of -functions for the first Painlevé equation can be constructed by the discrete Fourier transform of the topological recursion partition funct…
Voros Coefficients for the Hypergeometric Differential Equations and Eynard-Orantin's Topological Recursion - Part II : For the Confluent Family of Hypergeometric Equations
Kohei Iwaki, Tatsuya Koike, Yumiko Takei
We show that the each member of the confluent family of the Gauss hypergeometric equations is realized as quantum curves for appropriate spectral curves. As an application, relatio…
Voros Coefficients for the Hypergeometric Differential Equations and Eynard-Orantin's Topological Recursion - Part I : For the Weber Equation
Kohei Iwaki, Tatsuya Koike, Yumiko Takei
We develop the theory of quantization of spectral curves via the topological recursion. We formulate a quantization scheme of spectral curves which is not necessarily admissible in…
Reconstructing GKZ via topological recursion
Hiroyuki Fuji, Kohei Iwaki, Masahide Manabe +1
In this article, a novel description of the hypergeometric differential equation found from Gel'fand-Kapranov-Zelevinsky's system (referred to GKZ equation) for Givental's -func…
Duality/Sum formulas for iterated integrals and their application to multiple zeta values
Minoru Hirose, Kohei Iwaki, Nobuo Sato +1
We investigate linear relations among a class of iterated integrals on the Riemann sphere minus four points and . Generalization of the duality formula and the sum…
Painlevé equations, topological type property and reconstruction by the topological recursion
Kohei Iwaki, Olivier Marchal, Axel Saenz
In this article we prove that Lax pairs associated with -dependent six Painlevé equations satisfy the topological type property proposed by Bergère, Borot and Eynard for any…
Quantum Curve and the First Painlevé Equation
Kohei Iwaki, Axel Saenz
We show that the topological recursion for the (semi-classical) spectral curve of the first Painlevé equation gives a WKB solution for the isomonodromy problem for $P_{…
Painlev'e 2 equation with arbitrary monodromy parameter, topological recursion and determinantal formulas
Kohei Iwaki, Olivier Marchal
The goal of this article is to prove that the determinantal formulas of the Painlev'e 2 system identify with the correlation functions computed from the topological recursion on th…
Exact WKB analysis and cluster algebras II: Simple poles, orbifold points, and generalized cluster algebras
Kohei Iwaki, Tomoki Nakanishi
This is a continuation of developing mutation theory in exact WKB analysis using the framework of cluster algebras. Here we study the Schrodinger equation on a compact Riemann surf…
Exact WKB analysis and cluster algebras
Kohei Iwaki, Tomoki Nakanishi
We develop the mutation theory in the exact WKB analysis using the framework of cluster algebras. Under a continuous deformation of the potential of the Schrödinger equation on a c…
On WKB theoretic transformations for Painleve transcendents on degenerate Stokes segments
Kohei Iwaki
The WKB theoretic transformation theorem established in [KT2] implies that the first Painleve equation gives a normal form of Painleve equations with a large parameter near a simpl…
Stokes Matrices for the Quantum Cohomologies of Orbifold Projective Lines
Kohei Iwaki, Atsushi Takahashi
We prove the Dubrovin's conjecture for the Stokes matrices for the quantum cohomology of orbifold projective lines. The conjecture states that the Stokes matrix of the first struct…
Voros coefficients of the third Painelv'e equation and parametric Stokes phenomena
Kohei Iwaki
We compute all Voros coefficients of the third Painleve equation of the type D6 (in the sense of [OKSO]) and discuss the parametric Stokes phenomena occurring to formal transseries…
Parametric Stokes phenomenon for the second Painlevé equation with a large parameter
Kohei Iwaki
The second Painlevé equation with a large parameter () is analyzed by using the exact WKB analysis. The purpose of this study is to investigate the problem of the degenerat…