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closed curves 1combinatorial classification 1enumeration 1once-punctured torus 1self-intersection 1word length 1

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1 paper

math.GT2026

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

David Fisac, Mingkun Liu

The paper classifies closed curves on a once‑punctured torus that have exactly one self‑intersection using combinatorial methods, and then counts how many such curves exist for eac…