26 citations · 108 across the 19 of their papers we have counts for
5 papers · 1 filter
The Poisson linearization problem for . Part II: The Nash-Moser method
Ioan Marcut, Florian Zeiser
This is the second of two papers, in which we prove a version of Conn's linearization theorem for the Lie algebra . Namely, we…
The Poisson linearization problem for . Part I: Poisson cohomology
Ioan Marcut, Florian Zeiser
This is the first of two papers, in which we prove a version of Conn's linearization theorem for the Lie algebra . Namely, we…
Poisson structures with compact support
Gil R. Cavalcanti, Ioan Marcut
We explicitly construct several Poisson structures with compact support. For example, we show that any Poisson structure on with polynomial coefficients of degree at most tw…
Poisson geometry around Poisson submanifolds
Rui Loja Fernandes, Ioan Marcut
We construct a first order local model for Poisson manifolds around a large class of Poisson submanifolds and we give conditions under which this model is a local normal form. The…
Multiplicative Ehresmann connections
Rui Loja Fernandes, Ioan Marcut
We develop the theory of multiplicative Ehresmann connections for Lie groupoid submersions covering the identity, as well as their infinitesimal counterparts. We construct obstruct…