5 papers · 1 filter
A note on the cohomology of pullback Lie algebroids
Eckhard Meinrenken
We give a direct differential-geometric proof of a result of Crainic on the cohomology of pullbacks of Lie algebroids under surjective submersions: If the fibers are connected and…
An introduction to weightings along submanifolds
Eckhard Meinrenken
This article is based on a talk given at the Ghent Geometric Analysis Seminar in 2023. We review basic notions from the theory of weightings along submanifolds, with special emphas…
Introduction to moduli spaces and Dirac geometry
Eckhard Meinrenken
Let be a Lie group, with an invariant metric on its Lie algebra . Given a surface with boundary, and a collection of base points meet…
Manin pairs and moment maps revisited
Eckhard Meinrenken, Selim Tawfik
The notion of quasi-Poisson -spaces with -valued moment maps was introduced by Alekseev and Kosmann-Schwarzbach in 1999. Our main result is a \emph{Lifting Theorem}, establ…
On the integration of Manin pairs
David Li-Bland, Eckhard Meinrenken
It is a remarkable fact that the integrability of a Poisson manifold to a symplectic groupoid depends only on the integrability of its cotangent Lie algebroid : The source-simpl…