47 citations · 357 across the 42 of their papers we have counts for
18 papers · 1 filter
Deformations and homotopy theory of relative Rota-Baxter Lie algebras
Andrey Lazarev, Yunhe Sheng, Rong Tang
We determine the \emph{-algebra} that controls deformations of a relative Rota-Baxter Lie algebra and show that it is an extension of the dg Lie algebra controlling defor…
Homotopy relative Rota-Baxter Lie algebras, triangular -bialgebras and higher derived brackets
Andrey Lazarev, Yunhe Sheng, Rong Tang
We describe -algebras governing homotopy relative Rota-Baxter Lie algebras and triangular -bialgebras, and establish a map between them. Our formulas are based…
On the perturbation algebra
Joseph Chuang, Andrey Lazarev
We introduce a certain differential graded bialgebra, neither commutative nor cocommutative, that governs perturbations of a differential on complexes supplied with an abstract Hod…
Derived localisation of algebras and modules
Christopher Braun, Joseph Chuang, Andrey Lazarev
For any dg algebra , not necessarily commutative, and a subset in , the homology of , we construct its derived localisation together with a map $A\to L_S(A…
Unimodular homotopy algebras and Chern-Simons theory
Christopher Braun, Andrey Lazarev
Quantum Chern-Simons invariants of differentiable manifolds are analyzed from the point of view of homological algebra. Given a manifold M and a Lie (or, more generally, an L-infin…
Homotopy BV algebras in Poisson geometry
Christopher Braun, Andrey Lazarev
We define and study the degeneration property for BV-infinity algebras and show that it implies that the underlying L-infinity algebras are homotopy abelian. The proof is based on…