29 citations · 67 across the 14 of their papers we have counts for
17 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…
The Heisenberg algebra of a vector space and Hochschild homology
Ádám Gyenge, Timothy Logvinenko
For any noncommutative smooth and proper variety we construct three actions of the Heisenberg algebra on the total Hochschild homology of its symmetric quotient stacks. One is defi…
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…
The Heisenberg category of a category
Ádám Gyenge, Clemens Koppensteiner, Timothy Logvinenko
Starting with a k-linear or DG category admitting a (homotopy) Serre functor, we construct a k-linear or DG 2-category categorifying the Heisenberg algebra of the numerical K-group…
-functors
Rina Anno, Timothy Logvinenko
We propose a new theory of (non-split) P^n-functors. These are F: A -> B for which the adjunction monad RF is a repeated extension of Id_A by powers of an autoequivalence H and thr…