In this paper we prove that on a smooth algebraic variety the HKR-morphism twisted by the
square root of the Todd genus gives an isomorphism between the sheaf of poly-vector fields …

We generalize Kontsevich's construction of L∞-derivations of polyvector fields from the
affine space to an arbitrary smooth algebraic variety. More precisely, we construct a map (in …

The Duflo isomorphism first appeared in Lie theory and representation theory. It is an
isomorphism between invariant polynomials of a Lie algebra and the center of its universal …

Each choice of a Kähler class on a compact complex manifold defines an action of the Lie
algebra sl (2) on its total complex cohomology. If a nonempty set of such Kähler classes is …

Derived equivalences of hyperkähler varieties Page 1 GGG G G G G GGGG G G G GGG
TTT T T T TTTTTT T T T T T Geometry & Topology msp Volume 27 (2023) Derived …

In this paper we complete the proof of Căldăraru's conjecture on the compatibility between
the module structures on differential forms over poly-vector fields and on Hochschild …

This book gives a thorough and self-contained introduction to the theory of Hochschild
cohomology for algebras and includes many examples and exercises. The book then …

Hochschild cohomology governs deformations of algebras, and its graded Lie structure
plays a vital role. We study this structure for the Hochschild cohomology of the skew group …

We prove formulas of different types that allow us to calculate the Gerstenhaber bracket on
the Hochschild cohomology of an algebra using some arbitrary projective bimodule …

We first review various known algebraic structures on the Hochschild (co) homology of a
differential graded algebras under weak Poincar {\'e} duality hypothesis, such as Calabi-Yau …