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math.DG2020
An Analytic Approach to the Quasi-projectivity of the Moduli Space of Higgs Bundles
Yue Fan
The moduli space of Higgs bundles can be defined as a quotient of an infinite-dimensional space. Moreover, by the Kuranishi slice method, it is equipped with the structure of a nor…
math.DG2020★ 2 cited
The Orbit Type Stratification OF the Moduli Space of Higgs Bundles
Yue Fan
The moduli space of Higgs bundles can be constructed as a quotient of an infinite-dimensional space and hence admits an orbit type decomposition. In this paper, we show that the or…
math.DG2020★ 7 cited
Construction of the Moduli Space of Higgs Bundles using Analytic Methods
Yue Fan
It is a folklore theorem that the Kuranishi slice method can be used to construct the moduli space of semistable Higgs bundles on a closed Riemann surface as a complex space. The p…