Reidemeister torsion, Complex volume, and Zograf infinite product for hyperbolic 3-manifolds with cusps

TL;DR

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

Contribution

It introduces a novel equality connecting key invariants of hyperbolic 3-manifolds with cusps, unifying torsion, volume, and infinite product concepts.

Findings

Proves a new equality involving Reidemeister torsion, complex volume, and Zograf infinite product.

Enhances understanding of the relationship between topological and geometric invariants.

Provides tools for further exploration of hyperbolic 3-manifold invariants.

Abstract

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