29 citations · 65 across the 13 of their papers we have counts for
4 papers · 1 filter
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…
Bar category of modules and homotopy adjunction for tensor functors
Rina Anno, Timothy Logvinenko
Given a DG-category A we introduce the bar category of modules Modbar(A). It is a DG-enhancement of the derived category D(A) of A which is isomorphic to the category of DG A-modul…
Spherical functors
Rina Anno
This paper has been withdrawn and replaced by arXiv:1309.5035. In this paper we describe some examples of so called spherical functors between triangulated categories, which genera…