Parity of the Spin Structure Defined by a Quadratic Differential

  • Erwan Lanneau
  • Published 2002


According to the work of Kontsevich–Zorich, the invariant that classifies nonhyperelliptic connected components of the moduli spaces of Abelian differentials with prescribed singularities, is the parity of the spin structure. We show that for the moduli space of quadratic differentials, the spin structure is constant on every stratum where it is defined. In… (More)


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