7 citations · 21 across the 9 of their papers we have counts for
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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…
Surfaces, braids, Stokes matrices, and points on spheres
Yu-Wei Fan, Junho Peter Whang
Moduli spaces of points on -spheres carry natural actions of braid groups. For , , and , we prove that these symmetries extend to actions of mapping class groups of p…
Asymptotic shifting numbers in triangulated categories
Yu-Wei Fan, Simion Filip
We introduce invariants, called shifting numbers, that measure the asymptotic amount by which an autoequivalence of a triangulated category translates inside the category. The inva…
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…
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…
Categorical polynomial entropy
Yu-Wei Fan, Lie Fu, Genki Ouchi
For classical dynamical systems, the polynomial entropy serves as a refined invariant of the topological entropy. In the setting of categorical dynamical systems, that is, triangul…