# Kashaev invariants of twice-iterated torus knots

## TL;DR

This paper analyzes the asymptotic behavior of Kashaev invariants for twice-iterated torus knots, linking the results to topological invariants like Chern--Simons and Reidemeister torsion.

## Contribution

It provides a new asymptotic formula for Kashaev invariants of a specific class of knots with a topological interpretation.

## Key findings

- Asymptotic formula for Kashaev invariants derived
- Topological interpretation involving Chern--Simons invariant
- Connection to twisted Reidemeister torsion established

## Abstract

We calculate the asymptotic behavior of the Kashaev invariant of a twice-itarated torus knot and obtain topological interpretation of the formula in terms of the Chern--Simons invariant and the twisted Reidemeister torsion.