A positive factorization for the balanced superelliptic rotation

TL;DR

This paper presents a positive factorization of the balanced superelliptic rotation, a specific periodic map on closed surfaces, contributing to the understanding of surface symmetries and mapping class groups.

Contribution

It introduces a novel positive factorization for the balanced superelliptic rotation, advancing the algebraic understanding of this class of surface automorphisms.

Findings

Provides a positive factorization for the balanced superelliptic rotation.

Enhances the algebraic description of surface symmetries.

Contributes to the study of mapping class groups.

Abstract

The balanced superelliptic rotation is a periodic map on an oriented closed surface of order $k\geq 3$. We give a positive factorization for the balanced superelliptic rotation.