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math-ph2026
Accessory Parameter of Confluent Heun Equations, Voros Periods and classical irregular conformal blocks
Kohei Iwaki, Hajime Nagoya, Ayato Shukuta
For the Heun differential equation and all of its confluent equations, we derive formal series expansions of the accessory parameters using the Voros periods. We then compare these…
math-ph2025
Les Houches Lectures on Exact WKB Analysis and Painlevé Equations
Kohei Iwaki
The first part of these lecture notes is devoted to an introduction to the theory of exact WKB analysis for second-order Schrödinger-type ordinary differential equations. It review…
math-ph2025
Many-faced Painlevé I: irregular conformal blocks, topological recursion, and holomorphic anomaly approaches
Nikolai Iorgov, Kohei Iwaki, Oleg Lisovyy +1
In recent years, the Fourier series (Zak transform) structure of the Painlevé I tau function has emerged in multiple contexts. Its main building block admits several conjectural in…