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

DOI10.4171/JEMS/109zbMath1191.14031arXivmath/0602111OpenAlexW2069330320MaRDI QIDQ2478612

Gabriele Mondello

Publication date: 28 March 2008

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602111

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10)

Related Items (4)

Investigating the cohomological dimensions of ℳg ⋮ The Euler characteristics of \(\mathcal H_{g,n}\) ⋮ Fundamental groups of moduli stacks of stable curves of compact type ⋮ Matrix group integrals, surfaces, and mapping class groups. I. \(\mathrm{U}(\mathrm{n})\)

Cites Work

• Relative virtual localization and vanishing of tautological classes of moduli spaces of curves
• A bound on the dimensions of complete subvarieties of \({\mathcal M}_ g\).
• The virtual cohomological dimension of the mapping class group of an orientable surface
• Calculating cohomology groups of moduli spaces of curves via algebraic geometry
• Topological recursive relations in \(H^{2g}(\mathcal M_{g,n})\).
• On the tautological ring of \(\mathcal{M}_ g\)
• The irreducibility of the space of curves of a given genus
• Classifying spaces and spectral sequences
• Mapping Class Groups and Moduli Spaces of Curves
• Twisted Bundles and Admissible Covers
• Moduli of curves with non-abelian level structure
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