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Deformations of symplectic Lie algebroids, deformations of holomorphic symplectic structures, and index theorems
Ryszard Nest, Boris Tsygan
Recently Kontsevich solved the classification problem for deformation quantizations of all Poisson structures on a manifold. In this paper we study those Poisson structures for whi…
Formality conjecture for chains
Boris Tsygan
We state the analogs of Kontsevich's formality conjecture for Hochschild and cyclic chains, as well as their
Fukaya Type Categories for Associative Algebras
Ryszard Nest, Boris Tsygan
We define for an associative algebra an category whose objects are automorphisms of this algebra. This construction has some resemblance with Fukaya'a categories relat…
On the Cohomology Ring of an Algebra
Pyszard Nest, Boris Tsygan
We define several versions of the cohomology ring of an associative algebra. These ring structures unify some well known operations from homological algebra and differential geomet…