PreprintarXiv licencearXiv
Quantum Laurent positivity in rank three
Abstract
We prove Laurent positivity for skew-symmetrizable quantum cluster algebras of rank three, with arbitrary integral compatible quantizations and invertible frozen variables. The proof uses mutation-acyclic positivity from a companion manuscript.
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BibTeX
@misc{tang2026quantum,
title = {{Quantum Laurent positivity in rank three}},
author = {Qiyue Tang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.30387},
eprint = {2609.30387},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.30387},
}
RIS
TY - UNPB
TI - Quantum Laurent positivity in rank three
AU - Qiyue Tang
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.30387
UR - https://arxiv.org/abs/2609.30387
AB - We prove Laurent positivity for skew-symmetrizable quantum cluster algebras of rank three, with arbitrary integral compatible quantizations and invertible frozen variables. The proof uses mutation-acyclic positivity from a companion manuscript.
ER -