Work

Morse actions of discrete groups on symmetric spaces: local-to-global principle

Year: 2025

Type: article

Abstract: Our main result is a local-to-global principle for Morse quasigeodesics, maps and actions.As an application of our techniques we show algorithmic recognizability of Morse actions and construct Morse "Schottky subgroups" of higher-rank semisimple Lie groups via arguments not based on Tits pingpong.Our argument is purely geometric and proceeds by constructing equivariant Morse quasiisometric embeddings of trees into higher-rank symmetric spaces.

Source: Geometry & Topology

DOI: 10.2140/gt.2025.29.2343

Authors: Michael Kapovich, Bernhard Leeb, Joan Porti

Institutions: University of California, Davis, Ludwig-Maximilians-Universität München, Universitat Autònoma de Barcelona, Centre de Recerca Matemàtica

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Science Foundation, Agencia Estatal de Investigación