44 citations · 88 across the 26 of their papers we have counts for
8 papers · 1 filter
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…
Noncommutative Poisson structures, derived representation schemes and Calabi-Yau algebras
Yuri Berest, Xiaojun Chen, Farkhod Eshmatov +1
Recantly, William Crawley-Boevey proposed the definition of a Poisson structure on a noncommutative algebra based on the Kontsevich principle. His idea was to find the {\it wea…
Hochschild (co)homology of the Dunkl operator quantization of -singularity
Ajay Ramadoss, Xiang Tang
We study Hochschild (co)homology groups of the Dunkl operator quantization of -singularity constructed by Halbout and Tang. Further, we study traces on this algebra and prove…
The Picard Group of a Noncommutative Algebraic Torus
Yuri Berest, Ajay Ramadoss, Xiang Tang
We compute the Picard group of the noncommutative algebraic 2-torus , describe its action on the space of isomorphism classes of rk 1 projective module…