15 citations · 16 across the 17 of their papers we have counts for
13 papers · 1 filter
Monoidal structures arising from -algebras with applications to Hopf algebras
Gongxiang Liu, Zhengfang Wang, Mengdie Zhang
We give an explicit construction of monoidal structures on derived categories of right -modules over an -algebra equipped with a -structure. Given…
Hochschild Cohomology of the Symmetric Square of an Annulus with Stops
Xingyuan Lu, Zhengfang Wang
We compute the Hochschild cohomology of the partially wrapped Fukaya category of the symmetric square of an annulus with stops. Using an explicit generating set in this category, w…
Fukaya categories of orbifold surfaces in representation theory
Severin Barmeier, Zhengfang Wang
We give an introduction to partially wrapped Fukaya categories of surfaces with orbifold singularities. Dissecting an orbifold surface into polygons, certain dissection…
The singularity category as a stable module category
Xiao-Wu Chen, Zhengfang Wang
We investigate the stabilization of the module category over an artinian ring by formally inverting the tensor endofunctor given by the bimodule of relative nonco…
Differential graded enhancements of singularity categories
Xiao-Wu Chen, Zhengfang Wang
The singularity category of a ring detects the homological singularity of the given ring, and appears in many different contexts. We describe two different dg enhancements of the s…
A complete derived invariant and silting theory for graded gentle algebras
Haibo Jin, Sibylle Schroll, Zhengfang Wang
We confirm a conjecture by Lekili and Polishchuk that the geometric invariants which they construct for homologically smooth graded (not necessarily proper) gentle algebras form a…