3 papers
math.GT2026
Small Sets of Generators for Handlebody Groups
Tülin Altunöz, Celal Can Bellek, Emir Gül +2
Wajnryb gave a finite presentation of the handlebody group and showed that it is generated by five elements for . Using his relations, we show that $\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…
math.GT2025
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…