4 papers
The Hochschild homology of a noncommutative symmetric quotient stack
Rina Anno, Vladimir Baranovsky, Timothy Logvinenko
We prove an orbifold type decomposition theorem for the Hochschild homology of the symmetric powers of a small DG category . In noncommutative geometry, these can be v…
Unbounded twisted complexes
Rina Anno, Timothy Logvinenko
We define unbounded twisted complexes and bicomplexes generalising the notion of a (bounded) twisted complex over a DG category [BK90]. These need to be considered relative to anot…
-structures in monoidal DG categories and strong homotopy unitality
Rina Anno, Sergey Arkhipov, Timothy Logvinenko
We define -structures -- algebras, coalgebras, modules, and comodules -- in an arbitrary monoidal DG category or bicategory by rewriting their definitions in terms of u…
Multiplicative structure on the Hochschild cohomology of crossed product algebras
Rina Anno
Consider a smooth affine algebraic variety over an algebraically closed field, and let a finite group act on it. We assume that the characteristic of the field is greater t…