37 citations · 111 across the 23 of their papers we have counts for
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Split Canonical Relations
Alberto S. Cattaneo, Ivan Contreras
A Lagrangian subspace of a weak symplectic vector space is called \emph{split Lagrangian} if it has an isotropic (hence Lagrangian) complement. When the symplectic structure is…
Relational symplectic groupoids
Alberto S. Cattaneo, Ivan Contreras
This note introduces the construction of relational symplectic groupoids as a way to integrate every Poisson manifold. Examples are provided and the equivalence, in the integrable…
Relational symplectic groupoids and Poisson sigma models with boundary
Ivan Contreras
We introduce the notion of relational symplectic groupoid as a way to integrate Poisson manifolds in general, following the construction through the Poisson sigma model (PSM) given…
Groupoids and Poisson sigma models with boundary
Ivan Contreras, Alberto S. Cattaneo
This note gives an overview on the construction of symplectic groupoids as reduced phase spaces of Poisson sigma models and its generalization in the infinite dimensional setting (…