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Titlebook: Deformation Spaces; Perspectives on alge Hossein Abbaspour,Matilde Marcolli,Thomas Tradler Book 2010 Vieweg+Teubner Verlag | Springer Fachm

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Pure weight perfect Modules on divisorial schemes,ension ., We show that there is a canonical derived Morita equivalence between the DG-category of perfect complexes on . whose cohomological supports are in . and the DG-category of bounded complexes of weight . pseudo-coherent O.-Modules supported on .. This implies that there is a canonical isomor
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Higher localized analytic indices and strict deformation quantization,(periodic) cyclic cocycle over the convolution algebra . We say that τ can be localized if there is a morphism . satisfying .. (.)=〈.., τ 〉 (Connes pairing). In this case, we call .. the higher localized index associated to τ. In [.] we use the algebra of functions over the tangent groupoid introduc
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Quantizing deformation theory,s Hochschild cocyle can be extended naturally to a star product ‚=o.+ħo.+ħ.o. +…. The algebraic structure encoded in * is the properad Ω(.) which, conjecturally, controls a quantization of deformation theory—a theory for which Frobenius algebras replace ordinary commutative parameter rings.
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-interpretation of a classification of deformations of Poisson structures in dimension three,hree. We indeed reobtain the explicit formulas for all the formal deformations of these Poisson structures, together with a classification in the generic case, by constructing a suitable quasi-isomorphism between two ..-algebras, which are associated to these Poisson structures.
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