Sasaki versus K\"ahler groups
Differential Geometry
2025-04-08 v1 Algebraic Geometry
Group Theory
Geometric Topology
Abstract
We study fundamental groups of compact Sasaki manifolds and show that compared to K\"ahler groups, they exhibit rather different behaviour. This class of groups is not closed under taking direct products, and there is often an upper bound on the dimension of a Sasaki manifold realising a given group. The richest class of Sasaki groups arises in dimension 5.
Cite
@article{arxiv.2212.06805,
title = {Sasaki versus K\"ahler groups},
author = {D. Kotschick and G. Placini},
journal= {arXiv preprint arXiv:2212.06805},
year = {2025}
}
Comments
15 pages, comments are welcome!