85 citations · 365 across the 32 of their papers we have counts for
5 papers · 1 filter
Cotangent paths as coisotropic subsets for local functions
Camille Laurent-Gengoux, Yahya Turki
We establish a local function version of a classical result claiming that a bivector field on a manifold is Poisson if and only if cotangent paths form a coisotropic set of the…
Lie rackoids
Camille Laurent-Gengoux, Friedrich Wagemann
We define a new differential geometric structure, called Lie rackoid. It relates to Leibniz algebroids exactly as Lie groupoids relate to Lie algebroids. Its main ingredient is a s…
Invariant connections and PBW theorem for Lie groupoid pairs
Camille Laurent-Gengoux, Yannick Voglaire
To a closed wide Lie subgroupoid of a Lie groupoid , i.e. a Lie groupoid pair, we associate an Atiyah class which we interpret as the obstruction to the ex…
Universal Algebra of a Hom-Lie Algebra and group-like elements
Camille Laurent-Gengoux, Abdenacer Makhlouf, Joana Teles
We construct the universal enveloping algebra of a Hom-Lie algebra and endow it with a Hom-Hopf algebra structure. We discuss group-like elements that we see as a Hom-group integra…
Global Action-Angle Variables for Non-Commutative Integrable Systems
Rui L. Fernandes, Camille Laurent-Gengoux, Pol Vanhaecke
In this paper we analyze the obstructions to the existence of global action-angle variables for regular non-commutative integrable systems (NCI systems) on Poisson manifolds. In co…