11 citations · 25 across the 9 of their papers we have counts for
5 papers · 1 filter
Universal lifting theorem and quasi-Poisson groupoids
David Iglesias Ponte, Camille Laurent-Gengoux, Ping Xu
We prove the universal lifting theorem: for an -simply connected and -connected Lie groupoid $\gm$ with Lie algebroid , the graded Lie algebra of multi-differentials on $A…
Chern-Weil map for principal bundles over groupoids
Camille Laurent-Gengoux, Jean-Louis Tu, Ping Xu
The theory of principal -bundles over a Lie groupoid is an important one, unifying the various types of principal -bundles, including those over manifolds, those over orbifol…
S^1-bundles and gerbes over differentiable stacks
Kai Behrend, Ping Xu
We study -bundles and -gerbes over differentiable stacks in terms of Lie groupoids, and construct Chern classes and Dixmier-Douady classes in terms of analogues of connec…
The Local Structure of Lie Bialgebroids
Zhang-Ju Liu, Ping Xu
We study the local structure of Lie bialgebroids at regular points. In particular, we classify all transitive Lie bialgebroids. In special cases, they are connected to classical dy…
Dirac structures and dynamical r-matrices
Zhang-Ju Liu, Ping Xu
The purpose of this paper is to establish a connection between various subjects such as dynamical r-matrices, Lie bialgebroids, and Lagrangian subalgebras. Our method relies on the…