Modular orbits on the representation spaces of compact abelian Lie groups

Groups, geometry, and dynamics

article

Yohann Bouilly¹  Gianluca Faraco² 

[1] Université de Strasbourg;Max-Planck-Institut für Mathematik

关键词: Mapping class group;    character variety;    dense representations;    abelian Lie groups;   

DOI  :  10.4171/ggd/716

学科分类：神经科学

来源: European Mathematical Society

【 摘 要 】

Let SSS be a closed surface of genus ggg greater than zero. In the present paper, we study the topological-dynamical action of the mapping class group on the Tn\mathbb T^nTn-character variety giving necessary and sufficient conditions for Mod(S)\mathrm{Mod}(S)Mod(S)-orbits to be dense. As an application, such a characterisation provides a dynamical proof of the Kronecker's theorem concerning inhomogeneous Diophantine approximation.

【 授权许可】

CC BY