The space of Kleinian punctured torus groups is not locally connected

TL;DR

This paper demonstrates that the space of Kleinian punctured torus groups exhibits non-local connectivity, revealing complex topological properties of these mathematical objects.

Contribution

It establishes the non-local connectivity of the space of Kleinian punctured torus groups, a previously unknown topological feature.

Findings

The space is not locally connected.

Implications for the topology of Kleinian groups.

Advances understanding of deformation spaces.

Abstract

We show that the space of Kleinian punctured torus groups is not locally connected.