6 citations · 13 across the 5 of their papers we have counts for
7 papers
Hochschild cohomology of quantized symplectic orbifolds and the Chen-Ruan cohomology
Vasiliy Dolgushev, Pavel Etingof
We prove the additive version of the conjecture proposed by Ginzburg and Kaledin. This conjecture states that if X/G is an orbifold modeled on a quotient of a smooth affine symplec…
A Simple Algebraic Proof of the Algebraic Index Theorem
PoNing Chen, Vasiliy Dolgushev
In math.QA/0311303 B. Feigin, G. Felder, and B. Shoikhet proposed an explicit formula for the trace density map from the quantum algebra of functions on an arbitrary symplectic man…
Hochschild Cohomology versus De Rham Cohomology without Formality Theorems
Vasiliy Dolgushev
We exploit the Fedosov-Weinstein-Xu (FWX) resolution proposed in q-alg/9709043 to establish an isomorphism between the ring of Hochschild cohomology of the quantum algebra of funct…
A Formality Theorem for Hochschild Chains
Vasiliy Dolgushev
We prove Tsygan's formality conjecture for Hochschild chains of the algebra of functions on an arbitrary smooth manifold M using the Fedosov resolutions proposed in math.QA/0307212…
Covariant and Equivariant Formality Theorems
Vasiliy Dolgushev
We give a proof of Kontsevich's formality theorem for a general manifold using Fedosov resolutions of algebras of polydifferential operators and polyvector fields. The main advanta…
Wick Type Symbol and Deformed Algebra of Exterior Forms
V. A. Dolgushev, S. L. Lyakhovich, A. A. Sharapov
The covariant descripion is constructed for the Wick-type symbols on symplectic manifolds by means of the Fedosov procedure. The geometry of the manifolds admitting this symbol is…