3 citations · 3 across the 13 of their papers we have counts for
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Small Sets of Topological Generators for Big Mapping Class Groups
Tülin Altunöz, Celal Can Bellek, Emir Gül +2
Let be the infinite-type surface with infinite genus and ends, all of which are accumulated by genus. The mapping class group of this surface, $\mathrm{Ma…
Constructing Lefschetz Fibrations with Arbitrary Slope
Tulin Altunoz, Adalet Cengel
We prove that for any rational number , there exists a genus- Lefschetz fibration over the two-sphere with large enough genus- having the slope is .
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…
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,…