24 citations · 40 across the 6 of their papers we have counts for
6 papers
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…
The modular class of a twisted Poisson structure
Yvette Kosmann-Schwarzbach, Camille Laurent-Gengoux
We study the geometric and algebraic properties of the twisted Poisson structures on Lie algebroids, leading to a definition of their modular class and to an explicit determination…
Godbillon-Vey classes for super-foliations
Camille Laurent-Gengoux
We construct the equivalent of the Godbillon-Vey class and its generalizations for regular foliations on super-manifolds. We interpret these classes as classes of foliated flat con…
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…
Quantization of Quasi-Presymplectic Groupoids and their Hamiltonian Spaces
Camille Laurent-Gengoux, Ping Xu
We study the prequantization of quasi-presymplectic groupoids and their Hamiltonian spaces using -gerbes. We give a geometric description of the integrality condition. As an a…
Twisted K-theory of differentiable stacks
Jean-Louis Tu, Ping Xu, Camille Laurent-Gengoux
In this paper, we develop twisted -theory for stacks, where the twisted class is given by an -gerbe over the stack. General properties, including the Mayer-Vietoris propert…