Harmonic and equianharmonic equations in the Grothendieck–Teichmüller group. III

DOI10.1017/S1474748009000115zbMath1203.14033OpenAlexW2112956683MaRDI QIDQ3552196

Hiroshi Tsunogai, Hiroaki Nakamura, Seidai Yasuda

Publication date: 13 April 2010

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1474748009000115

zbMATH Keywords

Grothendieck-Teichmüller groupadelic beta functionGalois actions on profinite braid groups

Mathematics Subject Classification ID

Equations in general fields (12E12) Coverings of curves, fundamental group (14H30) Limits, profinite groups (20E18)

Related Items (3)

ACTION OF A GROTHENDIECK–TEICHMÜLLER GROUP ON TORSION ELEMENTS OF FULL TEICHMÜLLER MODULAR GROUPS OF GENUS ONE ⋮ The \(\ell\)-adic hypergeometric function and associators ⋮ Action of the Grothendieck-Teichmüller group on torsion elements of full Teichmüller modular groups in genus zero

Cites Work

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• \(p\)-adic interpolation of real analytic Eisenstein series
• A cohomological interpretation of the Grothendieck-Teichmüller group. Appendix by C. Scheiderer
• On a subgroup of the Grothendieck-Teichmüller group acting on the tower of profinite Teichmüller modular groups.
• The local pro-p anabelian geometry of curves
• The hyperadelic gamma function
• Limits of Galois Representations in Fundamental Groups Along Maximal Degeneration of Marked Curves, I
• Harmonic and equianharmonic equations in the Grothendieck-Teichmüller group
• On beta and gamma functions associated with the Grothendieck-Teichmüller group. II

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