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arXiv · 2504.00931

Moduli spaces of framed logarithmic and parabolic connections on a Riemann surface

Indranil Biswas·Michi-aki Inaba·Arata Komyo·Masa-Hiko Saito
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Abstract

We construct moduli spaces of framed logarithmic connections and also moduli spaces of framed parabolic connections. It is shown that these moduli spaces possess a natural algebraic symplectic structure. We also give an upper bound of the transcendence degree of the algebra of regular functions on the moduli space of parabolic connections.

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Indranil Biswas, Michi-aki Inaba, Arata Komyo, Masa-Hiko Saito. 2025-04-01. Moduli spaces of framed logarithmic and parabolic connections on a Riemann surface. https://doi.org/10.1112/mod.2025.5

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