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Kehnet Nielsen
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The Dehn-Nielsen-Baer Theorem
The Dehn-Nielsen-Baer Theorem
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...
The Nielsen-Thurston Classification
The Nielsen-Thurston Classification
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...