A h-principle for regular Poisson structures
by
Melanie Bertelson
Max-Planck-Institut fur Mathematik

A regular Poisson manifold can be described as a foliated space supporting a tangentially symplectic form. Some examples of foliations will be presented in the talk that are not induced by any Poisson structure although the basic obstructions vanish. On the other hand, tangentially symplectic structures are solutions of a certain partial differential relation that can be shown to satisfy the h-principle when some natural condition on the underlying foliated space is fulfilled. After a brief introuction to Gromov's theory of h-principles, the proof of this statement will be outlined.

Date received: March 20, 2001