$\mathfrak{gl}(1 \vert 1)$-Alexander polynomial for $3$-manifolds, Reidemeister torsion and lens spaces
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910699394957312 |
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| author | Bao, Yuanyuan |
| author_facet | Bao, Yuanyuan |
| contents | In this note, we reformulate the invariant $Δ(M, ω)$ that we defined before, and show its relation with Reidemeister torsion. We calculate $Δ(M, ω)$ when the $3$-manifolds are lens spaces, and discuss the classification of the lens spaces using $Δ(M, ω)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09923 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $\mathfrak{gl}(1 \vert 1)$-Alexander polynomial for $3$-manifolds, Reidemeister torsion and lens spaces Bao, Yuanyuan Geometric Topology Primary 57K10, 57K16, 57K31 In this note, we reformulate the invariant $Δ(M, ω)$ that we defined before, and show its relation with Reidemeister torsion. We calculate $Δ(M, ω)$ when the $3$-manifolds are lens spaces, and discuss the classification of the lens spaces using $Δ(M, ω)$. |
| title | $\mathfrak{gl}(1 \vert 1)$-Alexander polynomial for $3$-manifolds, Reidemeister torsion and lens spaces |
| topic | Geometric Topology Primary 57K10, 57K16, 57K31 |
| url | https://arxiv.org/abs/2411.09923 |