On twisted torsion of compact $3$-manifolds

Esma Dirican Erdal

On twisted torsion of compact $3$-manifolds

Geometric Topology 2024-08-22 v2 Algebraic Topology

Authors: Esma Dirican Erdal

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.

Keywords

twisted reidemeister torsion 3-manifolds connected sum topology geometry multiplicative property compact manifolds boundary

Cite

@article{arxiv.2402.15624,
  title  = {On twisted torsion of compact $3$-manifolds},
  author = {Esma Dirican Erdal},
  journal= {arXiv preprint arXiv:2402.15624},
  year   = {2024}
}

Comments

6 pages

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