Multiplicativity of Reidemister-Franz Torsion for Even Manifolds
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914233636093952 |
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| author | Erdal, Esma Dirican |
| author_facet | Erdal, Esma Dirican |
| contents | We study Reidemeister-Franz torsion for non-acyclic cellular chain complexes arising from closed, oriented, highly connected even dimensional manifolds. The monoid of such manifolds under connected sum admits a unique factorisation into indecomposable elements. Using this factorisation, we prove that the Reidemeister-Franz torsion of an even-dimensional manifold decomposes multiplicatively as the product of the torsions of its prime factors without any corrective term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01786 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multiplicativity of Reidemister-Franz Torsion for Even Manifolds Erdal, Esma Dirican Algebraic Topology We study Reidemeister-Franz torsion for non-acyclic cellular chain complexes arising from closed, oriented, highly connected even dimensional manifolds. The monoid of such manifolds under connected sum admits a unique factorisation into indecomposable elements. Using this factorisation, we prove that the Reidemeister-Franz torsion of an even-dimensional manifold decomposes multiplicatively as the product of the torsions of its prime factors without any corrective term. |
| title | Multiplicativity of Reidemister-Franz Torsion for Even Manifolds |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2511.01786 |