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math.GT2025
Minimal Generation of Mapping Class Groups: A Survey of the Orientable Case
Tulin Altunoz, Mehmetcik Pamuk, Oguz Yildiz
The mapping class group of an orientable surface, which records its symmetries up to isotopy, plays a central role in low-dimensional topology. This chapter explores the foundation…
math.GT2025
Minimal Generation of Mapping Class Groups: A Survey of the Nonorientable Case
Tulin Altunoz, Mehmetcik Pamuk, Oguz Yildiz
This chapter provides a comprehensive survey of foundational results and recent advances concerning minimal generating sets for the mapping class group of a nonorientable surface,…