Type C skein modules and transparent elements

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Authors: Vijay Higgins, Haihan Wu
Cited by: 0

Abstract

Abstract We study skein modules using webs. We define multivariable analogues of Chebyshev polynomials in the Type 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 labeled strands and an analogue of Kuperberg's tetravalent vertex in the annular setting.

Fields of Study & Subjects

Advanced Operator Algebra Research Geometric and Algebraic Topology Algebraic structures and combinatorial models

Publication details

Journal / source
Journal of the London Mathematical Society
Volume
114
Issue
2
Publication date
1 August 2026
Language
EN