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19982004
most citedRemarks on modules over deformation quantization algebras

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math.KT2000

Noncommutative differential calculus, homotopy BV algebras and formality conjectures

Dmitri Tamarkin, Boris Tsygan

We define a notion of astrongly homotopy BV algebra and apply it to deformation theory problems. Formality conjectures for Hochschild and cyclic chains are formulated. We prove som…

math.KT2000

Riemann-Roch via deformation quantization, II

Paul Bressler, Ryszard Nest, Boris Tsygan

We prove a Riemann-Roch formula for deformation quantization of complex manifolds and its corollary, an index theorem for elliptic pairs conjectured by Schapira and Schneiders.