4 papers
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 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…
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…
Structure and Topological Generation of Big Mapping Class Groups
Celal Can Bellek
Big mapping class groups are the mapping class groups of infinite-type surfaces, that is, surfaces whose fundamental groups are not finitely generated. While mapping class groups o…