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arXiv · 2508.13854

Poisson structure on character varieties. II

Indranil Biswas·Lisa C. Jeffrey
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Abstract

Let G be a complex reductive group and D a finite subset of a compact Riemann surface X. It was shown in [BJ] that the moduli space of G-characters of the complement of D in X has a natural Poisson structure. We show that the moduli space of logarithmic G-connections on X singular over D has a Poisson structure. It is proved that the monodromy map from the moduli space of logarithmic G-connections to the moduli space of G-characters is Poisson structure preserving.

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Indranil Biswas, Lisa C. Jeffrey. 2025-08-19. Poisson structure on character varieties. II. https://arxiv.org/abs/2508.13854

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