5 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…
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…
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…
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…