3 citations · 4 across the 4 of their papers we have counts for
4 papers
Curved Koszul duality and cyclic (co)homology
Yining Zhang
We study the curved Koszul duality theory for associative algebras presented by quadratic-linear-constant (QLC) relations. As an application, we investigate the cyclic (co)homology…
Hodge decomposition of string topology
Yuri Berest, Ajay C. Ramadoss, Yining Zhang
Let be a simply connected closed oriented manifold of rationally elliptic homotopy type. We prove that the string topology bracket on the -equivariant homology $\overline{…
Cyclic pairings and derived Poisson structures
Ajay C. Ramadoss, Yining Zhang
There is a canonical derived Poisson structure on the universal enveloping algebra of a (DG) Lie algebra that is Koszul dual to a cyclic co…
Dual Hodge decompositions and derived Poisson brackets
Yuri Berest, Ajay C. Ramadoss, Yining Zhang
We study general properties of Hodge-type decompositions of cyclic and Hochschild homology of universal enveloping algebras of (DG) Lie algebras. Our construction generalizes the o…