3 papers
math.CT2026
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…
math.RA2025
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…
math.KT2024
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…