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Basis for KBSM of fibered torus with multiplicity two exceptional fiber

Published 2 Feb 2025 in math.GT | (2502.00912v1)

Abstract: We construct a family of bases for the Kauffman bracket skein module (KBSM) of the product of an annulus and a circle. Using these bases, we find a new basis for the KBSM of $(\beta,2)$-fibered torus as a first step toward developing techniques for computing KBSM of a family of small Seifert fibered $3$-manifolds.

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