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Oct 24, 2014 at 8:10 comment added Simon Rose I think that I framed this question poorly. I'm not so explicitly interested in the moduli space of hyperelliptic curves thought of as twisted stable maps into $B\mathbb{Z}/2$, but really the difference between the moduli space of stable curves and the moduli space of stable twisted curves. I will edit the question.
Oct 23, 2014 at 12:56 history answered Paul Johnson CC BY-SA 3.0