Finite quotients of surface braid groups and double Kodaira fibrations
Geometric Topology
2023-05-03 v2 Algebraic Geometry
Group Theory
Abstract
Let be a closed Riemann surface of genus . We give an account of some results obtained in the recent papers \cite{CaPol19, Pol20, PolSab21} and concerning what we call here \emph{pure braid quotients},namely non-abelian finite groups appearing as quotients of the pure braid group on two strands . We also explain how these groups can be used in order to provide new constructions of double Kodaira fibrations.
Keywords
Cite
@article{arxiv.2106.01743,
title = {Finite quotients of surface braid groups and double Kodaira fibrations},
author = {Francesco Polizzi and Pietro Sabatino},
journal= {arXiv preprint arXiv:2106.01743},
year = {2023}
}
Comments
23 pages, 3 figures. To appear in "The Art of Doing Algebraic Geometry", a Springer volume dedicated to Ciro Ciliberto. arXiv admin note: text overlap with arXiv:2102.04963, arXiv:2002.01363, arXiv:1905.03170