activity
20172021
most citedConstruction of the Moduli Space of Higgs Bundles using Analytic Methods

7 citations · 20 across the 7 of their papers we have counts for

collaborators

9 papers

math.AG2021

Attractor mechanisms of moduli spaces of Calabi-Yau 3-folds

Yu-Wei Fan, Atsushi Kanazawa

We investigate the complex and Kähler attractor mechanisms of moduli spaces of Calabi-Yau 3-folds. The complex attractor mechanism was previously studied by Ferrara-Kallosh-Stromin…

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.AG2020

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…

math.AG20204 cited

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…

math.DG20202 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.DG20207 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…