Infinite Group Actions on Polyhedra

ISBN-13: 9783031484421 / Angielski

Michael W. Davis

Spis treści

Part I: Introduction.- 1 Introduction.- Part II: Nonpositively curved cube complexes.- 2 Polyhedral preliminaries.- 3 Right-angled spaces and groups.- Part III: Coxeter groups, Artin groups, buildings.- 4 Coxeter groups, Artin groups, buildings.- Part IV: More on NPC cube complexes.- 5 General theory of cube complexes.- 6 Hyperbolization.- 7 Morse theory and Bestvina–Brady groups.- Appendix A: Complexes of groups.

O autorze

Michael Davis received a PhD in mathematics from Princeton University in 1975. He was Professor of Mathematics at Ohio State University for thirty nine years, retiring in 2022 as Professor Emeritus. In 2015 he became a Fellow of the AMS. His research is in geometric group theory and topology. Since 1981 his work has focused on topics related to reflection groups including the construction of new examples of aspherical manifolds and the study of their properties.