3 citations · 3 across the 2 of their papers we have counts for
6 papers
Small Lefschetz Fibrations on Simply-Connected -Manifolds
Tulin Altunoz
We consider simply-connected -manifolds admitting Lefschetz fibrations over the -sphere. We explicitly construct nonhyperelliptic and hyperelliptic Lefschetz fibrations of ge…
The Twist Subgroup is generated by two elements
Tulin Altunoz, Mehmetcik Pamuk, Oguz Yildiz
We show that the twist subgroup of a nonorientable surface of genus can be generated by two elements for every odd and even . Using these gen…
The Number of Singular Fibers in Hyperelliptic Lefschetz Fibrations
Tulin Altunoz
We consider complex surfaces, viewed as smooth -dimensional manifolds, that admit hyperelliptic Lefschetz fibrations over the -sphere. In this paper, we show that the minimal…
Genus- Lefschetz Fibrations and Exotic -Manifolds with
Tulin Altunoz
We explicitly construct a genus- Lefschetz fibration over whose total space is using the mo…
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 can be generated by two involutions and an element of or…
Generating the Twist Subgroup by Involutions
Tulin Altunoz, Mehmetcik Pamuk, Oguz Yildiz
For a nonorientable surface, the twist subgroup is an index 2 subgroup of the mapping class group. It is generated by Dehn twists about two-sided simple closed curves. In this pape…