PreprintarXiv licencearXiv
Finitely generated groups of diffeomorphisms with prescribed critical regularity in every dimension
Abstract
Let n≥ 2, and let M be either the n-dimensional sphere 𝕊n or the real projective space ℝℙn. Given α≥ 1, we construct a finitely generated group Gn,α that embeds into the group of Cα-diffeomorphisms of M, but does not embed into the group of Cβ-diffeomorphisms of M for any β>α.
Related
BibTeX
@misc{escayola2026finitely,
title = {{Finitely generated groups of diffeomorphisms with prescribed critical regularity in every dimension}},
author = {Maximiliano Escayola and Carl-Fredrik Nyberg-Brodda},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.12919},
eprint = {2609.12919},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.12919},
}
RIS
TY - UNPB
TI - Finitely generated groups of diffeomorphisms with prescribed critical regularity in every dimension
AU - Maximiliano Escayola
AU - Carl-Fredrik Nyberg-Brodda
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2609.12919
UR - https://arxiv.org/abs/2609.12919
AB - Let n≥ 2, and let M be either the n-dimensional sphere 𝕊^n or the real projective space ℝℙ^n. Given α≥ 1, we construct a finitely generated group G_n,α that embeds into the group of C^α-diffeomorphisms of M, but does not embed into the group of C^β-diffeomorphisms of M for any β>α.
ER -