Year: 2025
Type: article
Abstract: J. Hoste and J. H. Przytycki computed the Kauffman bracket skein module (KBSM) of lens spaces in their papers published in 1993 and 1995. By using a basis for the KBSM of a fibered torus, we construct new bases for the KBSMs of two families of lens spaces: [Formula: see text] and [Formula: see text] with [Formula: see text]. For KBSM of [Formula: see text], we find a new generating set that yields its decomposition into a direct sum of cyclic modules.
Authors: Mieczyslaw K. Dabkowski, Cheyu Wu
Institution: The University of Texas at Dallas
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7114773058