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arXiv · 2108.08994

Moduli spaces of parabolic bundles over $\mathbb{P}^1$ with five marked points

Zhi Hu·Pengfei Huang·Runhong Zong
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Abstract

This paper considers the moduli spaces/stacks of parabolic bundles (parabolic logarithmic flat bundles and parabolic logarithmic Higgs bundles with given spectrum) of rank 2 and degree 1 over $\mathbb{P}^1$ with five marked points. The foliation and stratification structures on these moduli spaces/stacks are investigated. In particular, we confirm Simpson's conjecture for the moduli space of parabolic logarithmic flat bundles with certain non-special weight system.

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Zhi Hu, Pengfei Huang, Runhong Zong. 2021-08-20. Moduli spaces of parabolic bundles over $\mathbb{P}^1$ with five marked points. https://doi.org/10.1016/j.matpur.2025.103775

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