417 citations · 2.4k across the 99 of their papers we have counts for
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From local to global deformation quantization of Poisson manifolds
Alberto S. Cattaneo, Giovanni Felder, Lorenzo Tomassini
We give an explicit construction of a deformation quantization of the algebra of functions on a Poisson manifolds, based on Kontsevich's local formula. The deformed algebra of func…
Higher-dimensional BF theories in the Batalin-Vilkovisky formalism: The BV action and generalized Wilson loops
Alberto S. Cattaneo, Carlo A. Rossi
This paper analyzes in details the Batalin-Vilkovisky quantization procedure for BF theories on n-dimensional manifolds and describes a suitable superformalism to deal with the mas…
On a Vanishing Theorem of Kontsevich
Alberto S. Cattaneo, Giovanni Felder
This paper has been withdrawn by the authors, due a crucial mistake in Lemma 2
Loop observables for BF theories in any dimension and the cohomology of knots
Alberto S. Cattaneo, Paolo Cotta-Ramusino, Carlo A. Rossi
A generalization of Wilson loop observables for BF theories in any dimension is introduced in the Batalin-Vilkovisky framework. The expectation values of these observables are coho…