On twisted torsion of compact $3$-manifolds
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909291913412608 |
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| author | Erdal, Esma Dirican |
| author_facet | Erdal, Esma Dirican |
| contents | Let $M$ be a $3$-manifold with connected non-vacuos boundary which is not spherical. Assume that $N$ is another $3$-manifold with vacuous boundary and $N^{\ast}$ is the $3$-manifold obtained by removing from $N$ the interior of a $3$-cell. In the present paper, we find a relationship between the multiplicative property of the twisted Reidemeister torsion and the connected sum operation on these manifolds in order to understand their topology and geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15624 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On twisted torsion of compact $3$-manifolds Erdal, Esma Dirican Geometric Topology Algebraic Topology 55U99, 18G99, 57Q10 Let $M$ be a $3$-manifold with connected non-vacuos boundary which is not spherical. Assume that $N$ is another $3$-manifold with vacuous boundary and $N^{\ast}$ is the $3$-manifold obtained by removing from $N$ the interior of a $3$-cell. In the present paper, we find a relationship between the multiplicative property of the twisted Reidemeister torsion and the connected sum operation on these manifolds in order to understand their topology and geometry. |
| title | On twisted torsion of compact $3$-manifolds |
| topic | Geometric Topology Algebraic Topology 55U99, 18G99, 57Q10 |
| url | https://arxiv.org/abs/2402.15624 |