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arXiv · 2511.01786

Multiplicativity of Reidemister-Franz Torsion for Even Manifolds

Esma Dirican Erdal
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Abstract

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.

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Esma Dirican Erdal. 2025-11-03. Multiplicativity of Reidemister-Franz Torsion for Even Manifolds. https://arxiv.org/abs/2511.01786

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