Kähler groups and Geometric Group Theory

Thesis

In this thesis we study Kähler groups and their connections to Geometric Group Theory. This work presents substantial progress on three central questions in the field:

1. Which subgroups of direct products of surface groups are Kähler?
2. Which Kähler groups admit a classifying space with finite (n-1)-skeleton but no classifying space with finitely many n-cells?
3. Is it possible to give explicit finite presentations for any of the groups construct...

Expand abstract

Authors: Isenrich, C

• Type of award: DPhil
• Level of award: Doctoral
• Awarding institution: University of Oxford
• Language: English
• Keywords: Geometry and Topology; Complex geometry; Geometric Group Theory; Kähler groups
• Subjects: Mathematics