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arXiv · 2411.15829

Kauffman bracket skein algebra of the 4-holed disk

Haimiao Chen
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Abstract

We give a monomial basis for the Kauffman bracket skein algebra of the $4$-holed disk, and find a presentation. This is based on an insight into the ${\rm SL}(2,\mathbb{C})$-character variety of the rank $4$ free group.

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BibTeXRIS

Haimiao Chen. 2025-07-21. Kauffman bracket skein algebra of the 4-holed disk. https://doi.org/10.1016/j.jpaa.2025.108049

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