The Adjoint Reidemeister Torsion for Compact 3-Manifolds Admit a Unique Decomposition

Esma Dirican Erdal

The Adjoint Reidemeister Torsion for Compact 3-Manifolds Admit a Unique Decomposition

Geometric Topology 2022-05-10 v1 Algebraic Topology

Authors: Esma Dirican Erdal

Abstract

Let $M$ be a triangulated, oriented, connected compact $3$ -manifold with connected non-empty boundary. Such a manifold admits a unique decomposition into $\triangle$ -prime $3$ -manifolds. In this paper, we show that the adjoint Reidemeister torsion has a multiplicative property on the disk sum decomposition of compact $3$ -manifolds without a corrective term.

Keywords

compact 3-manifold reidemeister torsion disk sum decomposition prime decomposition adjoint torsion

Cite

@article{arxiv.2205.03438,
  title  = {The Adjoint Reidemeister Torsion for Compact 3-Manifolds Admit a Unique Decomposition},
  author = {Esma Dirican Erdal},
  journal= {arXiv preprint arXiv:2205.03438},
  year   = {2022}
}

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9 pages

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