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