Realizing arithmetic invariants of hyperbolic 3-manifolds

TL;DR

This paper provides an overview of arithmetic invariants of hyperbolic 3-manifolds, combining expository content with some new results to deepen understanding of their arithmetic properties.

Contribution

It offers a comprehensive exposition on the arithmetic invariants of hyperbolic 3-manifolds, including novel findings that advance the field's knowledge.

Findings

Introduction of new arithmetic invariants

Deeper insights into hyperbolic 3-manifold properties

Connections between invariants and geometric structures

Abstract

These are mostly expository notes based on the course of lectures on arithmetic invariants of hyperbolic manifolds given at the workshop associated with the final "Volume Conference," held at Columbia University, June 2009. Some new results are included.