17 citations · 64 across the 43 of their papers we have counts for
44 papers
A refined multiplication formula in 2-Calabi-Yau Frobenius extriangulated categories
Ming Ding, Fan Xu, Panyue Zhou
We prove a multiplication formula for the Wang-Wei-Zhang cluster character on a Hom-finite -Calabi--Yau Frobenius extriangulated category with a cluster-tilting obj…
Deformation families of open Calabi-Yau manifolds and Steinness
Fan Xu
This paper is to construct deformation families of open Calabi-Yau manifolds together with some discussions on Steinness. Firstly, we construct a nontrivial compactifiable deformat…
Enveloping algebras via motivic Hall algebras
Xinyi Feng, Fan Xu
We give a geometric realization of the whole universal enveloping algebras of Borcherds-Bozec algebras using quivers with loops via the motivic semi-derived Hall algebra approach.
Stability Conditions and Harder-Narasimhan Filtrations for Triangulated Categories
Wenyu Gao, Fan Xu
In this paper, we investigate the relationships between Harder-Narasimhan filtrations and derived Hall algebras. We extend several results from abelian categories to triangulated c…
Fundamental relations in quantum cluster algebras
Junyuan Huang, Xueqing Chen, Ming Ding +1
Let be an arbitrary quantum cluster algebra with principal coefficients. We give the fundamental relations between the quantum cluster variables arising from one-…
Explicit cluster multiplication formulas for the quantum cluster algebra of type
Danting Yang, Xueqing Chen, Ming Ding +1
Let be an affine quiver of type . We explicitly construct the cluster multiplication formulas for the quantum cluster algebra of with principal coefficients. As…