25 citations · 137 across the 24 of their papers we have counts for
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math.QA2010★ 14 cited
PBW for an inclusion of Lie algebras
Damien Calaque, Andrei Caldararu, Junwu Tu
Let h \subset g be an inclusion of Lie algebras with quotient h-module n. There is a natural degree filtration on the h-module U(g)/U(g)h whose associated graded h-module is isomor…
math.AG2010★ 18 cited
Matrix factorizations via Koszul duality
Junwu Tu
In this paper we prove a version of curved Koszul duality for Z/2Z-graded curved coalgebras and their coBar differential graded algebras. A curved version of the homological pertur…
math.KT2010★ 22 cited
Curved A-infinity algebras and Landau-Ginzburg models
Andrei Caldararu, Junwu Tu
We study the Hochschild homology and cohomology of curved A-infinity algebras that arise in the study of Landau-Ginzburg (LG) models in physics. We show that the ordinary Hochschil…