1 citations · 3 across the 6 of their papers we have counts for
6 papers
Recognising conjugacy classes of Dehn twists on via Dynnikov coordinates
Ferihe Atalan, Sergey Finashin
We describe in terms of Dynnikov coordinates the three orbits of the pure mapping class group action on the set of essential curves in a 3-punctured disc . For any ess…
Black holes in the Dynnikov Coordinate Plane
Ferihe Atalan
This work presents an application of Dynnikov coordinates in geometric group theory. We describe the orbits and dynamics of the action of Dehn twists and in the Dynniko…
An algebraic characterization of a Dehn twist for nonorientable surfaces
Ferihe Atalan
Let be a nonorientable surface of genus \ \ with \ -punctures. In this note, we will give an algebraic characterization of a Dehn twist about a simple closed c…
Automorphisms of the mapping class group of a nonorientable surface
Ferihe Atalan, Błażej Szepietowski
Let be a nonorientable surface of genus with punctures, and $\Mcg(S)$ its mapping class group. We define the complexity of to be the maximum rank of a fre…
Outer Automorphisms of Mapping Class Groups of Nonorientable Surfaces
Ferihe Atalan
Let Ng be the connected closed nonorientable surface of genus g >= 5 and Mod(Ng) denote the mapping class group of Ng. We prove that the outer automorphism group of Mod(Ng) is eith…
The Number of Pseudo-Anosov Elements in the Mapping Class Group of a Four-Holed Sphere
Ferihe Atalan, Mustafa Korkmaz
We compute the growth series and the growth functions of reducible and pseudo-Anosov elements of the pure mapping class group of the sphere with four holes with respect to a certai…