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arXiv · 2402.15624

On twisted torsion of compact $3$-manifolds

Esma Dirican Erdal
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Abstract

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.

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Esma Dirican Erdal. 2024-02-23. On twisted torsion of compact $3$-manifolds. https://arxiv.org/abs/2402.15624

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