Moduli spaces of Riemann surfaces as Hurwitz spaces

DOI10.1016/j.aim.2023.109217arXiv2112.10864MaRDI QIDQ6135871

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Publication date: 28 August 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.10864

zbMATH Keywords

Hurwitz spacemoduli spaceRiemann-Rochgroup completion

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Loop spaces (55P35) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Homology and cohomology of (H)-spaces (57T25)

Related Items (1)

Hurwitz-Ran spaces

Cites Work

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• Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields
• Improved homological stability for the mapping class group with integral or twisted coefficients
• Stability of the homology of the mapping class groups of orientable surfaces
• A bound on the dimensions of complete subvarieties of \({\mathcal M}_ g\).
• Weierstrass points of the universal curve
• Homology fibrations and the 'group-completion' theorem
• On the homotopy of the stable mapping class group
• The homology of the mapping class group
• Symmetric groups and the cup product on the cohomology of Hilbert schemes.
• On the tautological ring of \(\mathcal{M}_ g\)
• The stable moduli space of Riemann surfaces: Mumford's conjecture
• Teichmüller theory for surfaces with boundary
• Resolutions of moduli spaces and homological stability
• Weierstrass points, branch points, and moduli of riemann surfaces
• Filtrations on the homology of algebraic varieties
• Special Divisors and Analytic Subloci of Teichmueller Space
• Characteristic classes of surface bundles
• On generators and relations of the rational cohomology of Hilbert schemes
• Hurwitz-Ran spaces

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