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- W4385218964 abstract "Let $(Sigma,mathbb{M},mathbb{P})$ be a surface with marked points $mathbb{M}subseteq partialSigmaneqvarnothing$ and punctures $mathbb{P}subseteqSigmasetminuspartialSigma$. In this paper we show that for every curve $gamma$ on $Sigmasetminusmathbb{P}$, the curve obtained by resolving the kinks of $gamma$ in any order is uniquely determined, up to homotopy in $Sigmasetminusmathbb{P}$, by the $2$-orbifold homotopy class of $gamma$, in which the punctures are interpreted to be orbifold points of order $2$. Our proof resorts to an application of the Diamond Lemma." @default.
- W4385218964 created "2023-07-25" @default.
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- W4385218964 date "2023-07-21" @default.
- W4385218964 modified "2023-10-18" @default.
- W4385218964 title "On the resolution of kinks of curves on punctured surfaces" @default.
- W4385218964 doi "https://doi.org/10.48550/arxiv.2307.11376" @default.
- W4385218964 hasPublicationYear "2023" @default.
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