Type $C$ skein modules and transparent elements

Vijay Higgins; Haihan Wu

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arXiv · 2509.11590

Type $C$ skein modules and transparent elements

Vijay Higgins·Haihan Wu

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Abstract

We study skein modules using $Sp(2n)$ webs. We define multivariable analogues of Chebyshev polynomials in the Type $C$ setting and use them to construct transparent elements in the skein module at roots of unity. Our arguments are diagrammatic and make use of an explicit braiding formula for $1$ and $k$ labeled strands and an analogue of Kuperberg's tetravalent vertex in the annular setting.

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BibTeX RIS

Vijay Higgins, Haihan Wu. 2025-09-15. Type $C$ skein modules and transparent elements. https://arxiv.org/abs/2509.11590

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