Reidemeister torsion, complex volume, and Zograf infinite product

TL;DR

This paper establishes a new equality linking Reidemeister torsion, complex volume, and Zograf infinite product in the context of closed hyperbolic 3-manifolds, advancing understanding of their geometric and topological properties.

Contribution

It introduces a novel equality connecting key invariants of hyperbolic 3-manifolds, enriching the mathematical framework of geometric topology.

Findings

Proved an equality involving Reidemeister torsion, complex volume, and Zograf infinite product.

Enhanced understanding of relationships between topological and geometric invariants.

Provided new tools for studying hyperbolic 3-manifolds.

Abstract

In this paper, we prove an equality which involves Reidemeister torsion, complex volume, and Zograf infinite product for closed hyperbolic 3-manifolds.