Relative pro-\(\ell \)completions of mapping class groups

DOI10.1016/j.jalgebra.2009.02.014zbMath1200.14047arXiv0802.0806OpenAlexW2963311955MaRDI QIDQ834836

Makoto Matsumoto, Richard M. Hain

Publication date: 27 August 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.0806

zbMATH Keywords

mapping class groupTorelli groupJohnson homomorphismmoduli space of curvespro-\(\ell \) completionunramified Galois representation

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Coverings of curves, fundamental group (14H30) Limits, profinite groups (20E18)

Related Items

A pro-\(l\) version of the congruence subgroup problem for mapping class groups of genus one, Nonabelian reciprocity laws and higher Brauer-Manin obstructions, Non-abelian cohomology of universal curves in positive characteristic, UNIVERSAL MIXED ELLIPTIC MOTIVES, Galois actions on homotopy groups of algebraic varieties, On the universal ellipsitomic KZB connection, Difference between \(l\)-adic Galois representations and pro-\(l\) outer Galois representations associated to hyperbolic curves, Congruence topologies on the mapping class group, Rational points of universal curves in positive characteristics, On ℓ-adic Pro-algebraic and Relative Pro-ℓ Fundamental Groups

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