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Abstract <p>This work presents a new algorithm for calculating a singularity (boundary) type of ribbon surface of a generalized pseudo-Anosov homeomorphism using a surface combinatorial description in the so-called configuration. As an additional output, the fundamental group relators of the ribbon surface are calculated for its co-presentation associated with a given ribbon partition. In comparison to known algorithm, the one presented in this article does not involve any auxiliary sets or recurrent functions.</p>

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A New Algorithm for Calculating a Singularity (Boundary) Type of Ribbon Surface

  • 期刊论文

  • 发表日期：

    2025年6月16日

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  • A. A. Medvedev

摘要

Abstract

This work presents a new algorithm for calculating a singularity (boundary) type of ribbon surface of a generalized pseudo-Anosov homeomorphism using a surface combinatorial description in the so-called configuration. As an additional output, the fundamental group relators of the ribbon surface are calculated for its co-presentation associated with a given ribbon partition. In comparison to known algorithm, the one presented in this article does not involve any auxiliary sets or recurrent functions.