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math.QA2005★ 8 cited
On the Hochschild-Kostant-Rosenberg map for graded manifolds
Alberto S. Cattaneo, Domenico Fiorenza, Riccardo Longoni
We show that the Hochschild-Kostant-Rosenberg map from the space of multivector fields on a graded manifold N (endowed with a Berezinian volume) to the cohomology of the algebra of…
math.QA2003
Associative algebras, punctured disks and the quantization of Poisson manifolds
Domenico Fiorenza, Riccardo Longoni
The aim of the note is to provide an introduction to the algebraic, geometric and quantum field theoretic ideas that lie behind the Kontsevich-Cattaneo-Felder formula for the quant…