417 citations · 2.4k across the 99 of their papers we have counts for
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Cotangent Microbundle Category, I
Alberto S. Cattaneo, Benoit Dherin, Alan Weinstein
We define a local version of the extended symplectic category, the cotangent microbundle category, MiC, which turns out to be a true monoidal category. We show that a monoid in thi…
Pre-Poisson submanifolds
Alberto S. Cattaneo, Marco Zambon
This is an expository and introductory note on some results obtained in "Coisotropic embeddings in Poisson manifolds" (ArXiv math/0611480). Some original material is contained in t…
Equivalences of Higher Derived Brackets
Alberto S. Cattaneo, Florian Schaetz
This note elaborates on Th. Voronov's construction [math/0304038,math/0412202] of -structures via higher derived brackets with a Maurer-Cartan element. It is shown that g…
Deformation Quantization and Reduction
Alberto S. Cattaneo
This note is an overview of the Poisson sigma model (PSM) and its applications in deformation quantization. Reduction of coisotropic and pre-Poisson submanifolds, their appearance…