15 citations · 44 across the 28 of their papers we have counts for
28 papers
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 second Hochschild cohomology and deformations of Brauer graph algebras
Yuming Liu, Zhengfang Wang, Bohan Xing
In this paper, we give an explicit description about the second Hochschild cohomology groups of bipartite Brauer graph algebras with trivial grading. Based on this, we provide geom…
-structures on the additive decomposition of the Tate-Hochschild cohomology of a finite group algebra
Xiuli Bian, Longfei Li, Yuming Liu +3
Firstly, for a finite group algebra, we provide a computational framework for the Tate-Hochschild cochain complex in terms of the additive decomposition, by decompo…
Deformations of partially wrapped Fukaya categories of surfaces
Severin Barmeier, Sibylle Schroll, Zhengfang Wang
We give a complete description of the A deformation theory of partially wrapped Fukaya categories of graded surfaces. We show that any abstract A deformation is "…
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…
Partially wrapped Fukaya categories of orbifold surfaces
Severin Barmeier, Sibylle Schroll, Zhengfang Wang
We give a complete description of partially wrapped Fukaya categories of graded orbifold surfaces with stops. We show that a construction via global sections of a natural cosheaf o…
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…
Algebraic string topology from the neighborhood of infinity
Manuel Rivera, Alex Takeda, Zhengfang Wang
We construct and study an algebraic analogue of the loop coproduct in string topology, also known as the Goresky-Hingston coproduct. Our algebraic setup, which under this analogy t…
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…
-deformations of zigzag algebras via Ginzburg dg algebras
Junyang Liu, Zhengfang Wang
This note aims to give a short proof of the recent result due to Etgü-Lekili (2017) and Lekili-Ueda (2021): the zigzag algebra of any finite tree over a field of characteristic 0 i…
A deformations of extended Khovanov arc algebras and Stroppel's conjecture
Severin Barmeier, Zhengfang Wang
Extended Khovanov arc algebras are graded associative algebras which naturally appear in a variety of contexts, from knot and link homology, low-dimensional topolo…
The singular Yoneda category and the stabilization functor
Xiao-Wu Chen, Zhengfang Wang
For a noetherian ring , the stabilization functor in the sense of Krause yields an embedding of the singularity category of into the homotopy category of acyclic complexes o…
The dg Leavitt algebra, singular Yoneda category and singularity category
Xiao-Wu Chen, Bernhard Keller, Yu Wang +1
For any finite dimensional algebra given by a quiver with relations, we prove that its dg singularity category is quasi-equivalent to the perfect dg derived category of a dg Le…
Deformations of categories of coherent sheaves via quivers with relations
Severin Barmeier, Zhengfang Wang
We give an explicit combinatorial description of the deformation theory of the Abelian category of (quasi)coherent sheaves on any separated Noetherian scheme via the deformatio…
Leavitt path algebras, -algebras and Keller's conjecture for singular Hochschild cohomology
Xiao-Wu Chen, Huanhuan Li, Zhengfang Wang
For a finite quiver without sinks, we establish an isomorphism in the homotopy category of -algebras between the Hochschild cochain complex of…
Deformations of path algebras of quivers with relations
Severin Barmeier, Zhengfang Wang
Let be the path algebra of any finite quiver modulo any two-sided ideal of relations and let be any reduction system satisfying the diamond condition…
Invariance of the Goresky-Hingston algebra on reduced Hochschild homology
Manuel Rivera, Zhengfang Wang
We prove that two quasi-isomorphic simply connected differential graded associative Frobenius algebras have isomorphic Goresky-Hingston algebras on their reduced Hochschild homolog…
The Batalin-Vilkovisky structure on the Tate-Hochschild cohomology ring of a group algebra
Yuming Liu, Zhengfang Wang, Guodong Zhou
We determine the Batalin-Vilkovisky structure on the Tate-Hochschild cohomology of the group algebra of a finite group in terms of the additive decomposition. In particula…
Gerstenhaber algebra and Deligne's conjecture on Tate-Hochschild cohomology
Zhengfang Wang
Using non-commutative differential forms, we construct a complex called singular Hochschild cochain complex for any associative algebra over a field. The cohomology of this complex…
An explicit projective bimodule resolution of a Leavitt path algebra
Xiao-Wu Chen, Huanhuan Li, Zhengfang Wang
We construct an explicit projective bimodule resolution for the Leavitt path algebra of a row-finite quiver. We prove that the Leavitt path algebra of a row-countable quiver has Ho…
Singular Hochschild cohomology and algebraic string operations
Manuel Rivera, Zhengfang Wang
Given a differential graded (dg) symmetric Frobenius algebra we construct an unbounded complex , called the Tate-Hochschild complex, which arises as a tot…
Invariance of the Gerstenhaber algebra structure on Tate-Hochschild cohomology
Zhengfang Wang
Keller proved in 1999 that the Gerstenhaber algebra structure on the Hochschild cohomology of an algebra is an invariant of the derived category. In this paper, we adapt his approa…