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

• Autores: Gabriele Mondello
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 10, Nº 1, 2008, págs. 231-241
• Idioma: inglés
• DOI: 10.4171/jems/109
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• Resumen

  • 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.