Tulin Altunoz

collaborators

6 papers

math.GT2026

Small Sets of Generators for Handlebody Groups

TÃ¼lin AltunÃ¶z, Celal Can Bellek, Emir GÃ¼l +2

The mapping class group of a $3$ -dimensional handlebody of genus $g$ , denoted by $M (V_{g})$ , 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

TÃ¼lin AltunÃ¶z, Celal Can Bellek, Emir GÃ¼l +2

Let $S (n)$ be the infinite-type surface with infinite genus and $n \in N$ 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

TÃ¼lin AltunÃ¶z, Celal Can Bellek, Emir GÃ¼l +2

Let $S (n)$ , for $n \in N$ , be the infinite-type surface of infinite genus with $n$ ends, each accumulated by genus. Although the mapping class groups of these surfaces are…

math.GT2026

Constructing Lefschetz Fibrations with Arbitrary Slope

Tulin Altunoz, Adalet Cengel

We prove that for any rational number $r \in (2, 8)$ , there exists a genus- $g$ Lefschetz fibration over the two-sphere with large enough genus- $g$ having the slope is $r$ .

math.GT2025

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…

math.GT2025

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,…