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PreprintarXiv licencearXiv

A polynomial invariant of planar curves

Abstract

We construct a polynomial invariant of planar curves via skein relations, which generalizes Arnold's numerical invariant St.

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BibTeX
@misc{cheng2026polynomial,
  title = {{A polynomial invariant of planar curves}},
  author = {Zhiyun Cheng and Yin Tian and Tianyu Yuan},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.23638},
  eprint = {2609.23638},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.23638},
}
RIS
TY  - UNPB
TI  - A polynomial invariant of planar curves
AU  - Zhiyun Cheng
AU  - Yin Tian
AU  - Tianyu Yuan
PY  - 2026
DA  - 2026/09/20
PB  - arXiv
DO  - 10.48550/arxiv.2609.23638
UR  - https://arxiv.org/abs/2609.23638
AB  - We construct a polynomial invariant of planar curves via skein relations, which generalizes Arnold's numerical invariant St.
ER  -