Basis for KBSM of fibered torus with multiplicity two exceptional fiber

Basis for KBSM of fibered torus with multiplicity two exceptional fiber

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...

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Hauptverfasser: Dabkowski, Mieczyslaw K, Wu, Cheyu
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Geometric Topology
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Zusammenfassung: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.
DOI:10.48550/arxiv.2502.00912