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Currently displaying 1 – 2 of 2

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Twisted K-theory of differentiable stacks

Jean-Louis Tu; Ping Xu; Camille Laurent-Gengoux — 2004

Annales scientifiques de l'École Normale Supérieure

Universal lifting theorem and quasi-Poisson groupoids

David Inglesias-Ponte; Camille Laurent-Gengoux; Ping Xu — 2012

Journal of the European Mathematical Society

We prove the universal lifting theorem: for an $α$ -simply connected and $α$ -connected Lie groupoid $Γ$ with Lie algebroid $A$ , the graded Lie algebra of multi-differentials on $A$ is isomorphic to that of multiplicative multi-vector fields on $Γ$ . As a consequence, we obtain the integration theorem for a quasi-Lie bialgebroid, which generalizes various integration theorems in the literature in special cases. The second goal of the paper is the study of basic properties of quasi-Poisson groupoids. In particular,...

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