26 citations · 108 across the 19 of their papers we have counts for
5 papers · 1 filter
Reeb-Thurston stability for symplectic foliations
Marius Crainic, Ioan Marcut
We prove a version the local Reeb-Thurston stability theorem for symplectic foliations.
Deformations of log-symplectic structures
Ioan Marcut, Boris Osorno Torres
We describe the space of Poisson bivectors near a log-symplectic structure up to small diffeomorphisms.
The Normal Form Theorem around Poisson Transversals
Pedro Frejlich, Ioan Marcut
We prove a normal form theorem for Poisson structures around Poisson transversals (also called cosymplectic submanifolds), which simultaneously generalizes Weinstein's symplectic n…
On cohomological obstructions to the existence of log symplectic structures
Ioan Marcut, Boris Osorno Torres
We prove that a compact log symplectic manifold has a class in the second cohomology group whose powers, except maybe for the top, are nontrivial. This result gives cohomological o…
Normal forms in Poisson geometry
Ioan Marcut
This thesis studies normal forms for Poisson structures around symplectic leaves using several techniques: geometric, formal and analytic ones. One of the main results (Theorem 2)…