Basis for KBSM of fibered torus with multiplicity two exceptional fiber

Mieczyslaw K. Dabkowski; Cheyu Wu

paper

Basis for KBSM of fibered torus with multiplicity two exceptional fiber

arXiv:2502.00912

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.

30 pages, 37 figures