3 papers
math.GT2026
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…
math.GT2026
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…
math.GT2026
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…