# Arithmetic of Heisenberg ring and cyclic group actions

## TL;DR

This paper investigates the structure of the Heisenberg ring's configuration space by analyzing fiber cardinalities through cyclic group actions on restricted partitions, providing new computational insights.

## Contribution

It introduces novel methods for computing fiber sizes in Heisenberg ring configuration spaces using cyclic group actions on partitions.

## Key findings

- Computed fiber cardinalities in new cases
- Established connections between group actions and partition structures
- Enhanced understanding of Heisenberg ring configuration space

## Abstract

In this paper we compute in some new cases the cardinalities of the fibers of certain natural fibrations that appear in the analysis of the configuration space of the Heisenberg ring. This is done by means of certain cyclic group actions on some subsets of restricted partitions.