Kodaira fibrations, K\"ahler groups, and finiteness properties
Geometric Topology
2018-12-05 v2 Algebraic Geometry
Group Theory
Abstract
We construct classes of K\"ahler groups that do not have finite classifying spaces and are not commensurable to subdirect products of surface groups. Each of these groups is the fundamental group of the generic fibre of a holomorphic map from a product of Kodaira fibrations onto an elliptic curve.
Keywords
Cite
@article{arxiv.1611.09382,
title = {Kodaira fibrations, K\"ahler groups, and finiteness properties},
author = {Martin R. Bridson and Claudio Llosa Isenrich},
journal= {arXiv preprint arXiv:1611.09382},
year = {2018}
}
Comments
21 pages, 1 figure, V2: Minor corrections and improvements to the exposition. Final accepted version, to appear in the Transactions of the American Mathematical Society