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PreprintarXiv licencearXiv

Cabled braids and their crossing matrices

  • Ayaka Shimizu
  • Yoshiro Yaguchi
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Abstract

We study cabling operations on braids, and characterize the matrices that can be realized as crossing matrices of reducible pure braids. We also use cabling to construct enhanced conjugacy invariants of braids.

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Cite

BibTeXRIS
BibTeX
@misc{shimizu2026cabled,
  title = {{Cabled braids and their crossing matrices}},
  author = {Ayaka Shimizu and Yoshiro Yaguchi},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.29486},
  eprint = {2608.29486},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.29486},
}
RIS
TY  - UNPB
TI  - Cabled braids and their crossing matrices
AU  - Ayaka Shimizu
AU  - Yoshiro Yaguchi
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2608.29486
UR  - https://arxiv.org/abs/2608.29486
AB  - We study cabling operations on braids, and characterize the matrices that can be realized as crossing matrices of reducible pure braids. We also use cabling to construct enhanced conjugacy invariants of braids.
ER  -