12 citations · 20 across the 2 of their papers we have counts for
4 papers
Atiyah classes and dg-Lie algebroids for matched pairs
Panagiotis Batakidis, Yannick Voglaire
For every Lie pair of algebroids we construct a dg-manifold structure on the -graded manifold such that the inclusion $ι: A[1] \to \…
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…
Rozansky-Witten-type invariants from symplectic Lie pairs
Yannick Voglaire, Ping Xu
We introduce symplectic structures on "Lie pairs" of (real or complex) algebroids as studied by Chen, Stienon and the second author (From Atiyah classes to homotopy Leibniz algebra…
Strongly exponential symmetric spaces
Yannick Voglaire
We study the exponential map of connected symmetric spaces and characterize, in terms of midpoints and of infinitesimal conditions, when it is a diffeomorphism, generalizing the Di…