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

  • Gabriele Mondello

    Università di Roma 'La Sapienza', Italy

Abstract

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 rational components. These bounds would follow from conjectures of Looijenga and Roth-Vakil.

Cite this article

Gabriele Mondello, A remark on the homotopical dimension of some moduli spaces of stable Riemann surfaces. J. Eur. Math. Soc. 10 (2008), no. 1, pp. 231–241

DOI 10.4171/JEMS/109