3 citations · 3 across the 8 of their papers we have counts for
14 papers · 1 filter
Small Sets of Generators for Handlebody Groups
Tülin Altunöz, Celal Can Bellek, Emir Gül +2
The mapping class group of a -dimensional handlebody of genus , denoted by , is a fundamental object of study in geometric topology. Building upon the initi…
Small Torsion Topological Generators for Big Mapping Class Groups
Tülin Altunöz, Celal Can Bellek, Emir Gül +2
Let , for , be the infinite-type surface of infinite genus with ends, each accumulated by genus. Although the mapping class groups of these surfaces are…
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,…