PreprintCC BY 4.0arXiv
3-manifold decision problems and Riemann hypotheses
Abstract
Beginning with Kuperberg's work on unknot recognition, several fundamental decision problems in 3-manifold topology have been shown to be in coNP assuming the generalized Riemann hypothesis. In this note, we explain how recent developments around the quasi-Riemann hypothesis yield unconditional versions of these results, leading for example to the first unconditional proof that 3-sphere recognition is in coNP.
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BibTeX
@misc{baldwin20263manifold,
title = {{3-manifold decision problems and Riemann hypotheses}},
author = {John A. Baldwin and Steven Sivek},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.06705},
eprint = {2611.06705},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.06705},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - 3-manifold decision problems and Riemann hypotheses
AU - John A. Baldwin
AU - Steven Sivek
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.06705
UR - https://arxiv.org/abs/2611.06705
AB - Beginning with Kuperberg's work on unknot recognition, several fundamental decision problems in 3-manifold topology have been shown to be in coNP assuming the generalized Riemann hypothesis. In this note, we explain how recent developments around the quasi-Riemann hypothesis yield unconditional versions of these results, leading for example to the first unconditional proof that 3-sphere recognition is in coNP.
ER -