Automorphisms of procongruence curve and pants complexes
Geometric Topology
2024-04-24 v4 Algebraic Geometry
Group Theory
Abstract
In this paper we study the automorphism group of the procongruence mapping class group through its action on the associated procongruence curve and pants complexes. Our main result is a rigidity theorem for the procongruence completion of the pants complex. As an application we prove that moduli stacks of smooth algebraic curves satisfy a weak anabelian property in the procongruence setting.
Keywords
Cite
@article{arxiv.2004.04135,
title = {Automorphisms of procongruence curve and pants complexes},
author = {Marco Boggi and Louis Funar},
journal= {arXiv preprint arXiv:2004.04135},
year = {2024}
}
Comments
54p., revised version, J. Topology, to appear