On the filtration of topological and pro-\(\ell\) mapping class groups of punctured Riemann surfaces

DOI10.2969/jmsj/04810013zbMath0914.57001OpenAlexW2112762758MaRDI QIDQ1915547

Mamoru Asada

Publication date: 5 August 1996

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

Full work available at URL: https://doi.org/10.2969/jmsj/04810013

zbMATH Keywords

fundamental groupmapping class groupRiemann surfaceweight filtration

Mathematics Subject Classification ID

Coverings of curves, fundamental group (14H30) Fundamental group, presentations, free differential calculus (57M05) Riemann surfaces (30F99)

Related Items (8)

Some stability properties of Teichmüller modular function fields with pro-\(l\) weight structures ⋮ Coupling of universal monodromy representations of Galois-Teichmüller modular groups ⋮ Galois rigidity of pro-𝑙 pure braid groups of algebraic curves ⋮ Difference between \(l\)-adic Galois representations and pro-\(l\) outer Galois representations associated to hyperbolic curves ⋮ The faithfulness of the monodromy representations associated with certain families of algebraic curves ⋮ Absolute anabelian cuspidalizations of configuration spaces of proper hyperbolic curves over finite fields ⋮ Braid monodromies on proper curves and pro-ℓ Galois representations ⋮ The compatibility of the filtration of mapping class groups of two surfaces pasted along the boundaries

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