417 citations · 2.4k across the 99 of their papers we have counts for
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Formal symplectic groupoid
Alberto S. Cattaneo, Benoit Dherin, Giovanni Felder
The multiplicative structure of the trivial symplectic groupoid over associated to the zero Poisson structure can be expressed in terms of a generating function. We a…
Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model
Alberto S. Cattaneo, Giovanni Felder
General boundary conditions ("branes") for the Poisson sigma model are studied. They turn out to be labeled by coisotropic submanifolds of the given Poisson manifold. The role play…
On the integration of Poisson manifolds, Lie algebroids, and coisotropic submanifolds
Alberto S. Cattaneo
In recent years methods for the integration of Poisson manifolds and of Lie algebroids have been proposed, the latter being usually presented as a generalization of the former. In…
Algebraic structures on graph cohomology
Alberto S. Cattaneo, Paolo Cotta-Ramusino, Riccardo Longoni
We define algebraic structures on graph cohomology and prove that they correspond to algebraic structures on the cohomology of the spaces of imbeddings of S^1 or R into R^n. As a c…
Integration of twisted Poisson structures
Alberto S. Cattaneo, Ping Xu
Poisson manifolds may be regarded as the infinitesimal form of symplectic groupoids. Twisted Poisson manifolds considered by Severa and Weinstein [math.SG/0107133] are a natural ge…