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arXiv · 2508.07920

Realization of symmetry of $A^{(1)*}_2$-surfaces as transformations of logarithmic connections

Takafumi Matsumoto
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Abstract

An $A^{(1)*}_2$-surface is a space of initial conditions of certain difference Painlev\'e equations. $A^{(1)*}_2$-surfaces are realized as the moduli spaces of parabolic logarithmic connections. In this paper, we realize the symmetry of $A^{(1)*}_2$-surfaces as transformations of parabolic logarithmic connections.

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Takafumi Matsumoto. 2025-08-11. Realization of symmetry of $A^{(1)*}_2$-surfaces as transformations of logarithmic connections. https://arxiv.org/abs/2508.07920

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