Tulin Altunoz

activity

20192026

most citedThe Number of Singular Fibers in Hyperelliptic Lefschetz Fibrations

3 citations · 3 across the 13 of their papers we have counts for

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4 papers · 1 filter

math.GT2020★ 3 cited

The Number of Singular Fibers in Hyperelliptic Lefschetz Fibrations

Tulin Altunoz

We consider complex surfaces, viewed as smooth $4$ -dimensional manifolds, that admit hyperelliptic Lefschetz fibrations over the $2$ -sphere. In this paper, we show that the minimal…

math.GT2020

Generating the Extended Mapping Class Group by Three Involutions

Tulin Altunoz, Mehmetcik Pamuk, Oguz Yildiz

We prove that the extended mapping class group, $Mo d^{*} (Σ_{g})$ , of a connected orientable surface of genus $g$ , can be generated by three involutions for $g \geq 5$ . In the pr…

math.GT2020

Genus- $3$ Lefschetz Fibrations and Exotic $4$ -Manifolds with $b_{2}^{+} = 3$

Tulin Altunoz

We explicitly construct a genus- $3$ Lefschetz fibration over $S^{2}$ whose total space is $T^{2} \times S^{2} #6 C P^{2}$ using the mo…

math.GT2020

Torsion Generators of the Twist Subgroup

Tulin Altunoz, Mehmetcik Pamuk, Oguz Yildiz

We showed that the twist subgroup of the mapping class group of a closed connected nonorientable surface of genus $g \geq 13$ can be generated by two involutions and an element of or…

The Number of Singular Fibers in Hyperelliptic Lefschetz Fibrations

Generating the Extended Mapping Class Group by Three Involutions

Genus-3 Lefschetz Fibrations and Exotic 4-Manifolds with b2+​=3

Torsion Generators of the Twist Subgroup

Genus- $3$ Lefschetz Fibrations and Exotic $4$ -Manifolds with $b_{2}^{+} = 3$