Work

Proper affine deformations of positive representations

Year: 2026

Type: article

Abstract: We define, for every positive Anosov representation of a nonabelian free group into , a family of ‐valued cocycles which induce proper affine actions on . We construct fundamental domains in bounded by generalized crooked planes for these affine actions, and deduce that the quotient manifolds are homeomorphic to handlebodies.

Source: Journal of Topology

DOI: 10.1112/topo.70102

Authors: Jean‐Philippe Burelle, Neža Žager Korenjak

Institutions: Université de Sherbrooke, University of Michigan

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funder: Natural Sciences and Engineering Research Council of Canada