PreprintarXiv licencearXiv
Continuum-many discontinuous actions of SLn+1(ℚ) on manifolds
Abstract
For any n≥ 1, we construct a continuum of non-conjugate actions by homeomorphisms of SLn+1(ℚ) on the n-sphere Sn that do not extend to a continuous action of SLn+1(ℝ). We do this by adapting a blow-up construction of Bowden and Mann. We motivate studying these actions and note down some related observations.
Related
- A class of high-order discontinuous-Galerkin methods satisfying infinitely many entropy conditions with provable error estimates and strong convergence for general nonlinear conservation laws
- Finite group actions on nonpositively curved 3-manifolds
- Self-intersecting sections of polar actions on simply connected manifolds
- Weights of circle actions on oriented manifolds with isolated fixed points
- Free Circle Actions and Positive Ricci Curvature on Manifolds with the Cohomology Ring of S2× S5
BibTeX
@misc{cohen2026continuummany,
title = {{Continuum-many discontinuous actions of $\operatornameSL_n+1(\mathbbQ)$ on manifolds}},
author = {Segev Gonen Cohen},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15653},
eprint = {2610.15653},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15653},
}
RIS
TY - UNPB
TI - Continuum-many discontinuous actions of SL_n+1(ℚ) on manifolds
AU - Segev Gonen Cohen
PY - 2026
DA - 2026/10/11
PB - arXiv
DO - 10.48550/arxiv.2610.15653
UR - https://arxiv.org/abs/2610.15653
AB - For any n≥ 1, we construct a continuum of non-conjugate actions by homeomorphisms of SL_n+1(ℚ) on the n-sphere S^n that do not extend to a continuous action of SL_n+1(ℝ). We do this by adapting a blow-up construction of Bowden and Mann. We motivate studying these actions and note down some related observations.
ER -