PreprintCC BY 4.0arXiv
The Euler characteristic of Pin± manifolds
Abstract
We completely determine the possible parities of the Euler characteristic of closed Pin±-manifolds of a given dimension. As an application we partially calculate the controlled cut-and-paste groups SKK2k+1Pin±, which were previously undetermined.
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BibTeX
@misc{hoekzema2026euler,
title = {{The Euler characteristic of $Pin^\pm$ manifolds}},
author = {Renee S. Hoekzema and Luuk Stehouwer and Simona Veselá},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.06747},
eprint = {2610.06747},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.06747},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The Euler characteristic of Pin^± manifolds
AU - Renee S. Hoekzema
AU - Luuk Stehouwer
AU - Simona Veselá
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.06747
UR - https://arxiv.org/abs/2610.06747
AB - We completely determine the possible parities of the Euler characteristic of closed Pin^±-manifolds of a given dimension. As an application we partially calculate the controlled cut-and-paste groups SKK_2k+1^Pin^±, which were previously undetermined.
ER -