44 citations · 88 across the 26 of their papers we have counts for
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Derived Representation Schemes and Noncommutative Geometry
Yuri Berest, Giovanni Felder, Ajay Ramadoss
Some 15 years ago M. Kontsevich and A. Rosenberg [KR] proposed a heuristic principle according to which the family of schemes parametrizing the finite-dimensional repr…
Stable representation homology and Koszul duality
Yuri Berest, Ajay Ramadoss
This paper is a sequel to [BKR], where we studied the derived affine scheme DRep_n(A) of the classical representation scheme Rep_n(A) for an associative k-algebra A. In [BKR], we h…
Hochschild Lefschetz Class for -modules
Ajay Ramadoss, Xiang Tang, Hsian-hua Tseng
We introduce a notion of Hochschild Lefschetz class for a good coherent D-module on a compact complex manifold, and prove that this class is compatible with the direct image functo…
Derived Representation Schemes and Cyclic Homology
Yuri Berest, George Khachatryan, Ajay Ramadoss
We describe the derived functor DRep_V(A) of the affine representation scheme Rep_V(A), parametrizing the representations of an associative k-algebra A on a finite-dimensional vect…
A Simple Construction of Derived Representation Schemes
Yuri Berest, George Khachatryan, Ajay Ramadoss
We present a simple algebraic construction of the (non-abelian) derived functors DRep_n(A) of the representation scheme Rep_n(A), parametrizing the n-dimensional representations of…