Kauffman bracket skein module of the connected sum of two solid tori
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914464863879168 |
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| author | Bakshi, Rhea Palak Lê, Thang T. Q. Przytycki, Józef H. |
| author_facet | Bakshi, Rhea Palak Lê, Thang T. Q. Przytycki, Józef H. |
| contents | We determine the structure of the Kauffman bracket skein module of the connected sum of two genus one handlebodies over the ring of Laurent polynomials $\mathbb Z[q^{\pm 1}]$, thereby proving a conjecture posed by the first and third authors. Our results lay the groundwork for computing the Kauffman bracket skein module of arbitrary connected sums over the ring $\mathbb Z[q^{\pm 1}]$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09971 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Kauffman bracket skein module of the connected sum of two solid tori Bakshi, Rhea Palak Lê, Thang T. Q. Przytycki, Józef H. Geometric Topology 57K31 (Primary) 57K10, 57K16 (Secondary) We determine the structure of the Kauffman bracket skein module of the connected sum of two genus one handlebodies over the ring of Laurent polynomials $\mathbb Z[q^{\pm 1}]$, thereby proving a conjecture posed by the first and third authors. Our results lay the groundwork for computing the Kauffman bracket skein module of arbitrary connected sums over the ring $\mathbb Z[q^{\pm 1}]$. |
| title | Kauffman bracket skein module of the connected sum of two solid tori |
| topic | Geometric Topology 57K31 (Primary) 57K10, 57K16 (Secondary) |
| url | https://arxiv.org/abs/2604.09971 |