26 citations · 66 across the 18 of their papers we have counts for
18 papers
Fourier-Mukai numbers of K3 categories of very general special cubic fourfolds
Yu-Wei Fan, Kuan-Wen Lai
We give counting formulas for the number of Fourier-Mukai partners of the K3 category of a very general special cubic fourfold.
Categorical Nielsen realization problems for generic K3 surfaces
Yu-Wei Fan, Kuan-Wen Lai
For a complex projective K3 surface of Picard number one, we prove that every nontrivial finite subgroup of autoequivalences has order two and compute the number of conjugacy class…
Counting special Lagrangian classes and semistable Mukai vectors for K3 surfaces
Jayadev S. Athreya, Yu-Wei Fan, Heather Lee
Motivated by the study of the growth rate of the number of geodesics in flat surfaces with bounded lengths, we study generalizations of such problems for K3 surfaces. In one genera…
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…
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…
New rational cubic fourfolds arising from Cremona transformations
Yu-Wei Fan, Kuan-Wen Lai
Are Fourier-Mukai equivalent cubic fourfolds birationally equivalent? We obtain an affirmative answer to this question for very general cubic fourfolds of discriminant 20, where we…
Contractibility of space of stability conditions on the projective plane via global dimension function
Yu-Wei Fan, Chunyi Li, Wanmin Liu +1
We compute the global dimension function on the principal component of the space of Bridgeland stability conditions on $\mathbb{P}^…
On pseudo-Anosov autoequivalences
Yu-Wei Fan, Simion Filip, Fabian Haiden +2
Motivated by results of Thurston, we prove that any autoequivalence of a triangulated category induces a filtration by triangulated subcategories, provided the existence of Bridgel…
Systolic inequalities for K3 surfaces via stability conditions
Yu-Wei Fan
We introduce the notions of categorical systoles and categorical volumes of Bridgeland stability conditions on triangulated categories. We prove that for any projective K3 surface,…
On entropy of -twists
Yu-Wei Fan
We show that the -twist associated to any -object of a smooth project variety is not conjugate to a standard autoequivalence. This result is obtained by com…
Weil-Petersson geometry on the space of Bridgeland stability conditions
Yu-Wei Fan, Atsushi Kanazawa, Shing-Tung Yau
Inspired by mirror symmetry, we investigate some differential geometric aspects of the space of Bridgeland stability conditions on a Calabi-Yau triangulated category. The aim is to…
Mirror of Atiyah flop in symplectic geometry and stability conditions
Yu-Wei Fan, Hansol Hong, Siu-Cheong Lau +1
We study the mirror operation of the Atiyah flop in symplectic geometry. We formulate the operation for a symplectic manifold with a Lagrangian fibration. Furthermore we construct…
Entropy of an autoequivalence on Calabi-Yau manifolds
Yu-Wei Fan
We prove that the categorical entropy of the autoequivalence on a Calabi-Yau manifold is the unique positive real number satisfy…