H_1-semistability for projective groups
Geometric Topology
2016-12-30 v1 Group Theory
Abstract
We initiate the study of the asymptotic topology of groups that can be realized as fundamental groups of smooth complex projective varieties with holomorphically convex universal covers (these are called here as holomorphically convex groups). We prove the -semistability conjecture of Geoghegan for holomorphically convex groups. In view of a theorem of Eyssidieux, Katzarkov, Pantev and Ramachandran \cite{ekpr}, this implies that linear projective groups satisfy the -semistability conjecture.
Cite
@article{arxiv.1403.2029,
title = {H_1-semistability for projective groups},
author = {Indranil Biswas and Mahan Mj},
journal= {arXiv preprint arXiv:1403.2029},
year = {2016}
}
Comments
Corrected version of arXiv:1203.4520 (withdrawn); main result is weaker