PreprintCC BY 4.0arXiv
A Finite-Geometric Obstruction and a Polytopal Separation of Buchstaber Invariants
Abstract
We construct a polytopal simplicial sphere that admits a mod 2 characteristic map but no mod 3 characteristic map, and hence no integral one. This shows that the Buchstaber number of a polytopal sphere can be strictly smaller than its real Buchstaber number, and gives a negative answer to the toric lifting problem.
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BibTeX
@misc{choi2026finitegeometric,
title = {{A Finite-Geometric Obstruction and a Polytopal Separation of Buchstaber Invariants}},
author = {Suyoung Choi and Hyeontae Jang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.07631},
eprint = {2610.07631},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.07631},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A Finite-Geometric Obstruction and a Polytopal Separation of Buchstaber Invariants
AU - Suyoung Choi
AU - Hyeontae Jang
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2610.07631
UR - https://arxiv.org/abs/2610.07631
AB - We construct a polytopal simplicial sphere that admits a mod 2 characteristic map but no mod 3 characteristic map, and hence no integral one. This shows that the Buchstaber number of a polytopal sphere can be strictly smaller than its real Buchstaber number, and gives a negative answer to the toric lifting problem.
ER -