KBSM of lens spaces $L(p,2)$ and $L(4k,2k+1)$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916729111707648 |
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| author | Dabkowski, Mieczyslaw K. Wu, Cheyu |
| author_facet | Dabkowski, Mieczyslaw K. Wu, Cheyu |
| contents | J. Hoste and J. H. Przytycki computed the Kauffman bracket skein module (KBSM) of lens spaces in their papers published in 1993 and 1995. Using a basis for the KBSM of a fibered torus, we construct new bases for the KBSMs of two families of lens spaces: $L(p,2)$ and $L(4k,2k+1)$ with $k\neq 0$. For KBSM of $L(0,1) = {\bf S}^{2}\times S^{1}$, we find a new generating set that yields its decomposition into a direct sum of cyclic modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06188 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | KBSM of lens spaces $L(p,2)$ and $L(4k,2k+1)$ Dabkowski, Mieczyslaw K. Wu, Cheyu Geometric Topology 57K31, 57K10 J. Hoste and J. H. Przytycki computed the Kauffman bracket skein module (KBSM) of lens spaces in their papers published in 1993 and 1995. Using a basis for the KBSM of a fibered torus, we construct new bases for the KBSMs of two families of lens spaces: $L(p,2)$ and $L(4k,2k+1)$ with $k\neq 0$. For KBSM of $L(0,1) = {\bf S}^{2}\times S^{1}$, we find a new generating set that yields its decomposition into a direct sum of cyclic modules. |
| title | KBSM of lens spaces $L(p,2)$ and $L(4k,2k+1)$ |
| topic | Geometric Topology 57K31, 57K10 |
| url | https://arxiv.org/abs/2505.06188 |