Work

Single self-intersection words on the once-punctured torus and their counting

Year: 2024

Type: preprint

Abstract: We classify closed curves on a once-punctured torus with a single selfintersection from a combinatorial perspective. We then use the classification to determine the number of closed curves with given word-length and with zero, one, and arbitrary self-intersections.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2404.09372

Authors: Fisac, David, Liu, Mingkun

Institutions: Universitat Autònoma de Barcelona, University of Luxembourg

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Fonds National de la Recherche Luxembourg, Ministerio de Ciencia e Innovación, Agència de Gestió d'Ajuts Universitaris i de Recerca, Agencia Estatal de Investigación

Awards: G2422984422, G2946950828, G5055414528, G6045789513

OpenAlex ID: W4394866485

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