Poisson structures whose Poisson diffeomorphism group is not locally path-connected

2020/01/02 by Ioan Marcut, Marcut, Ioan
Mathematics · #FOS: Mathematics #Symplectic Geometry (math.SG) #math.SG

paper · pdf · doi:10.48550/arxiv.2001.00644

8 pages

arxiv created 2020/01/02 · arxiv updated 2020/01/06

Abstract

We build examples of Poisson structure whose Poisson diffeomorphism group is not locally path-connected.

Related

• The Poisson boundary of a locally discrete group of diffeomorphisms of the circle
• Poisson Diffeomorphism Groups
• Poly-Poisson structures
• Lie groups of Poisson diffeomorphisms
• Poisson Equivalence over a Symplectic Leaf