Proper affine deformations of positive representations
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.
Authors
- Neža Žager Korenjak
- Jean-Philippe Burelle (ORCID: https://orcid.org/0000-0003-2936-8901)
Institutions
- Université de Sherbrooke (CA)
- University of Michigan (US)
Publication Details
- Journal
- Journal of Topology
- Published
- 2026-10-14
- DOI
- https://doi.org/10.1112/topo.70102
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Natural Sciences and Engineering Research Council of Canada