47 citations · 357 across the 42 of their papers we have counts for
45 papers
Nonsmooth Calabi-Yau structures for algebras and coalgebras
Matt Booth, Joseph Chuang, Andrey Lazarev
We show that generalised Calabi-Yau dg (co)algebras are Koszul dual to generalised symmetric dg (co)algebras, without needing to assume any smoothness or properness hypotheses. Sim…
Cohomology of Lie coalgebras
Joseph Chuang, Andrey Lazarev, Yunhe Sheng +1
A Koszul duality-type correspondence between coderived categories of conilpotent differential graded Lie coalgebras and their Chevalley-Eilenberg differential graded algebras is es…
One-sided localization in dg categories
Joseph Chuang, Andrey Lazarev
The notion of one-sided localization in the homotopy invariant context is developed for dg algebras and dg categories. Applications include a simple construction of derived localiz…
Global Koszul duality
Matt Booth, Andrey Lazarev
We construct a monoidal model structure on the category of all curved coalgebras and show that it is Quillen equivalent, via the extended bar-cobar adjunction, to another model str…
Enriched Koszul duality for dg categories
Julian Holstein, Andrey Lazarev
It is well-known that the category of small dg categories dgCat, though it is monoidal, does not form a monoidal model category. In this paper we construct a monoidal model structu…
Rank functions on triangulated categories
Joseph Chuang, Andrey Lazarev
We introduce the notion of a rank function on a triangulated category which generalizes the Sylvester rank function in the case when $\mathcal{C}=\operatorname{Perf}(…