Kehnet Nielsen

This chapter deals with the Dehn–Nielsen–Baer theorem, one of the most beautiful connections between topology and algebra in the mapping class group. It begins by defining the obje...

This chapter explains and proves the Nielsen–Thurston classification of elements of Mod(S), one of the central theorems in the study of mapping class groups. It first considers the...

This book deals with two fundamental objects attached to a surface S and how they relate to each other: a group and a space. The group is the mapping class group of S, denoted by M...