6 papers
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…
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…