Group-theoretic Johnson classes and a non-hyperelliptic curve with torsion Ceresa class

Let l be a prime and G a pro-l group with torsion-free abelianization. We produce group-theoretic analogues of the Johnson/Morita cocycle for G -- in the case of surface groups, these cocycles appear to refine existing constructions when l=2. We apply this to the pro-l etale fundamental groups of sm...

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Bibliographic Details
Main Authors: Dean Bisogno, Wanlin Li, Daniel Litt, Padmavathi Srinivasan
Format: Article
Language:English
Published: Association Epiga 2023-03-01
Series:Épijournal de Géométrie Algébrique
Subjects:
Online Access:https://epiga.episciences.org/6849/pdf