Basis for KBSM of fibered torus with multiplicity three exceptional fiber

Mieczyslaw K. Dabkowski; Sushmita Sinha Roy; Cheyu Wu

doi:10.1016/j.topol.2026.109898

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Basis for KBSM of fibered torus with multiplicity three exceptional fiber

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Basis for KBSM of fibered torus with multiplicity three exceptional fiber

Mieczyslaw K. Dabkowski, Sushmita Sinha Roy and Cheyu Wu

Topology and its applications, Vol.390, p.109898

10-15-2026

DOI: https://doi.org/10.1016/j.topol.2026.109898

Abstract

Kauffman bracket skein module

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A family of bases for the Kauffman bracket skein module (KBSM) of the product of an annulus and a circle is constructed in this paper. Using these bases, we find a new basis for the KBSM of (β,3)-fibered torus to develop more techniques for computing KBSM of a family of small Seifert fibered 3-manifolds with exceptional fibers of multiplicity two and three.

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Title: Basis for KBSM of fibered torus with multiplicity three exceptional fiber
Creators: Mieczyslaw K. Dabkowski - The University of Texas at Dallas
Sushmita Sinha Roy - Department of Mathematics, Florida Gulf Coast University, Fort Myers, FL 33965, United States of America
Cheyu Wu - The University of Texas at Dallas
Publication Details: Topology and its applications, Vol.390, p.109898
Publisher: Elsevier B.V
Identifiers: 99386027079406570
Academic Unit: Department of Mathematics
Language: English
Resource Type: Journal article

Basis for KBSM of fibered torus with multiplicity three exceptional fiber

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