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On infinite knot families with the same HOMFLYPT polynomial
Abstract
In this paper, we focus on the examples constructed by Kanenobu and provide new family knots with the same HOMFLYPT polynomial invariants, which are distinguished by the Kauffman polynomial.
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BibTeX
@misc{matsushima2026infinite,
title = {{On infinite knot families with the same HOMFLYPT polynomial}},
author = {Yuki Matsushima},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.16017},
eprint = {2610.16017},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.16017},
}
RIS
TY - UNPB
TI - On infinite knot families with the same HOMFLYPT polynomial
AU - Yuki Matsushima
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.16017
UR - https://arxiv.org/abs/2610.16017
AB - In this paper, we focus on the examples constructed by Kanenobu and provide new family knots with the same HOMFLYPT polynomial invariants, which are distinguished by the Kauffman polynomial.
ER -