Surface cubications mod flips
classification
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keywords
surfacecubicationsflipssigmacompactcorrespondenceisotopymodulo
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Let $\Sigma$ be a compact surface. We prove that the set of surface cubications modulo flips, up to isotopy, is in one-to-one correspondence with $\Z/2\Z\oplus H_1(\Sigma,\Z/2\Z)$.
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