Work

On the n-transitivity of the group of equivariant diffeomorphisms

Year: 2025

Type: article

Abstract: Let G be a Lie group and let M be a proper smooth G-manifold. If M is connected and $$\dim (M)\ge 2$$ dim ( M ) ≥ 2 , the group of diffeomorphisms of M, that are isotopic to the identity through a compactly supported isotopy, acts n-transitively on M, for any n. In this paper, we prove a version of the n-transitivity result for the group of equivariant diffeomorphisms of M. As a corollary we obtain a result concerning diffeomorphisms of the orbit space M/G. A special case of the result for orbit spaces gives an n-transitivity result for orbifold diffeomorphisms that was earlier proved by F. Pasquotto and T. O. Rot.

Source: Geometriae Dedicata

DOI: 10.1007/s10711-025-01018-1

Author: Marja Kankaanrinta

Institution: Tampere University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,090

Funder: Tays