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Surface cubications mod flips

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Abstract

Let Σ be a compact surface. We prove that the set of marked surface cubications modulo flips, up to isotopy, is in one-to-one correspondence with \(\mathbb{Z}/2\mathbb{Z}\oplus H_1(\Sigma,\partial \Sigma;\mathbb{Z}/2\mathbb{Z})\).

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Authors and Affiliations

  1. Institut Fourier BP 74, UMR 5582 CNRS, University of Grenoble I, 38402, Saint-Martin-d’Hères Cedex, France

    Louis Funar

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  1. Louis Funar
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Funar, L. Surface cubications mod flips. manuscripta math. 125, 285–307 (2008). https://doi.org/10.1007/s00229-007-0149-4

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  • DOI: https://doi.org/10.1007/s00229-007-0149-4

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