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PreprintCC BY-NC-SA 4.0arXiv

Presentations of skein algebras of genus 2

Abstract

We give a presentation for the Kauffman bracket skein algebra of a closed or one-holed oriented surface of genus $2$. This is the first such result for genus greater than $1$.

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BibTeX
@misc{chen2026presentations,
  title = {{Presentations of skein algebras of genus 2}},
  author = {Haimiao Chen},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.05032},
  eprint = {2609.05032},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.05032},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Presentations of skein algebras of genus 2
AU  - Haimiao Chen
PY  - 2026
DA  - 2026/09/04
PB  - arXiv
DO  - 10.48550/arxiv.2609.05032
UR  - https://arxiv.org/abs/2609.05032
AB  - We give a presentation for the Kauffman bracket skein algebra of a closed or one-holed oriented surface of genus $2$. This is the first such result for genus greater than $1$.
ER  -