The Identity Component of the Leaf Preserving Diffeomorphism Group is Perfect.

Tomasz Rybicki

Displaying similar documents to “The Identity Component of the Leaf Preserving Diffeomorphism Group is Perfect.”

On the first homology of automorphism groups of manifolds with geometric structures

Kōjun Abe, Kazuhiko Fukui (2005)

Open Mathematics

Similarity:

Hermann and Thurston proved that the group of diffeomorphisms with compact support of a smooth manifold M which are isotopic to the identity is a perfect group. We consider the case where M has a geometric structure. In this paper we shall survey on the recent results of the first homology of the diffeomorphism groups which preserve a smooth G-action or a foliated structure on M. We also work in Lipschitz category.

Positive Diagonals of ...1-Matrices.

Hazel Perfect (1973)

Monatshefte für Mathematik

Similarity:

d...-Cohomology of Lagrangian Foliations.

Izu Vaisman (1988)

Monatshefte für Mathematik

Similarity:

On the existence of exceptional leaves in foliations of co-dimension one

Richard Sacksteder (1964)

Annales de l'institut Fourier

Similarity:

Exemples d’une structure feuilletée de co-dimension un, de classe $C^{\infty}$ , dont une feuille est exceptionnelle.

Extending the Dehn quandle to shears and foliations on the torus

Reza Chamanara, Jun Hu, Joel Zablow (2014)

Fundamenta Mathematicae

Similarity:

The Dehn quandle, Q, of a surface was defined via the action of Dehn twists about circles on the surface upon other circles. On the torus, 𝕋², we generalize this to show the existence of a quandle Q̂ extending Q and whose elements are measured geodesic foliations. The quandle action in Q̂ is given by applying a shear along such a foliation to another foliation. We extend some results which related Dehn quandle homology to the monodromy of Lefschetz fibrations. We apply certain quandle...