Alexander polynomial, Dijkgraaf-Witten invariant, and Seifert fibred surgery
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2017
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| _version_ | 1866917899712593920 |
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| author | Chen, Haimiao |
| author_facet | Chen, Haimiao |
| contents | We apply Dijkgraaf-Witten invariant over an semiproduct of abelian groups to show that, if the $k/\ell$-surgery along a knot $K$ results in a small Seifert 3-manifold with multiplicities $a_1,a_2,a_3$, then many constraints on $k,a_1,a_2,a_3$ can be read off from the Alexander polynomial of $K$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1711_09399 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Alexander polynomial, Dijkgraaf-Witten invariant, and Seifert fibred surgery Chen, Haimiao Geometric Topology 57K10, 57K16 We apply Dijkgraaf-Witten invariant over an semiproduct of abelian groups to show that, if the $k/\ell$-surgery along a knot $K$ results in a small Seifert 3-manifold with multiplicities $a_1,a_2,a_3$, then many constraints on $k,a_1,a_2,a_3$ can be read off from the Alexander polynomial of $K$. |
| title | Alexander polynomial, Dijkgraaf-Witten invariant, and Seifert fibred surgery |
| topic | Geometric Topology 57K10, 57K16 |
| url | https://arxiv.org/abs/1711.09399 |