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

David Fisac; Mingkun Liu

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arXiv · 2404.09372

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

David Fisac·Mingkun Liu

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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.

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BibTeX RIS

David Fisac, Mingkun Liu. 2024-04-14. Single self-intersection words on the once-punctured torus and their counting. https://arxiv.org/abs/2404.09372

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