Displaying similar documents to “The geometric quantization of the moduli space of Riemann surfaces with even spin structure.”

A remark on the homotopical dimension of some moduli spaces of stable Riemann surfaces

Gabriele Mondello (2008)

Journal of the European Mathematical Society

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Using a result of Harer, we prove certain upper bounds for the homotopical/cohomological dimension of the moduli spaces of Riemann surfaces of compact type, of Riemann surfaces with rational tails and of Riemann surfaces with at most k rational components. These bounds would follow from conjectures of Looijenga and Roth–Vakil.