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0111 · Aug 201519922001200920182026
2 results for Mathoverflow

Suppose SS is a closed orientable surface and S~\tilde{S} is a finite sheeted regular cover of SS. The following question was posed by Julién Marché in Mathoverflow: Do the lifts of simple curves from SS generate H1(S~,Z)H_{1}(\tilde{S},\mathbb{Z})? A family of examples is given for which the answer is "no".

2015-08-19abs ↗pdf ↗