PreprintarXiv licencearXiv
Property Pnaive for non-orientable big Mapping Class Groups
Abstract
We give a criterion for property Pnaive for subgroups of orientable big mapping class groups and apply it to mapping class groups of non-orientable infinite type surfaces through the orientation double cover.
Related
- The proper geometric dimension of the mapping class groups of non-orientable surfaces with punctures
- Generating the twist subgroup of the level $2$ mapping class group of a non-orientable closed surface
- Property (T) and nonlinearity of mapping class group quotients
- Mapping class groups are quasicubical
- On the mapping class groups of simply connected smooth 4-manifolds
BibTeX
@misc{hernandez2026property,
title = {{Property $P_\textnaive$ for non-orientable big Mapping Class Groups}},
author = {Jesús Hernández Hernández and Tianyi Lou},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.06110},
eprint = {2609.06110},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.06110},
}
RIS
TY - UNPB
TI - Property P_naive for non-orientable big Mapping Class Groups
AU - Jesús Hernández Hernández
AU - Tianyi Lou
PY - 2026
DA - 2026/09/05
PB - arXiv
DO - 10.48550/arxiv.2609.06110
UR - https://arxiv.org/abs/2609.06110
AB - We give a criterion for property P_naive for subgroups of orientable big mapping class groups and apply it to mapping class groups of non-orientable infinite type surfaces through the orientation double cover.
ER -