Basis for KBSM of fibered torus with multiplicity two exceptional fiber

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 (β,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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