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19992009
most citedA Proof of Tsygan's Formality Conjecture for an Arbitrary Smooth Manifold

51 citations · 230 across the 22 of their papers we have counts for

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Showing 2003Show all

2 papers · 1 filter

math.QA2003★ 1 cited

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…

hep-th2003★ 28 cited

Classical R-Matrices and the Feigin-Odesskii Algebra via Hamiltonian and Poisson Reductions

H. W. Braden, V. A. Dolgushev, M. A. Olshanetsky +1

We present a formula for a classical -matrix of an integrable system obtained by Hamiltonian reduction of some free field theories using pure gauge symmetries. The framework of…