9 citations · 17 across the 6 of their papers we have counts for
6 papers
On the Slope of Hyperelliptic Lefschetz Fibrations and the Number of Separating Vanishing Cycles
Yusuf Z Gurtas
In this article we find an upper and lower bound for the slope of genus g hyperelliptic Lefschetz fibrations, which is sharp when g = 2, and demonstrate the strong connection, in g…
Positive Dehn Twist Expression for a action on
Hisaaki Endo, Yusuf Z. Gurtas
A positive Dehn twist product for a action with fixed points on the 2-dimensional closed, compact, oriented surface is presented. The homeomorphism invar…
Lantern relations and rational blowdowns
Hisaaki Endo, Yusuf Z. Gurtas
We discuss a connection between the lantern relation in mapping class groups and the rational blowing down process for 4-manifolds. More precisely, if we change a positive relator…
Positive Dehn Twist Expressions for Some Elements of Finite Order in the Mapping Class Group
Yusuf Z. Gurtas
Positive Dehn twist products for some elements of finite order in the mapping class group of a 2-dimensional closed, compact, oriented surface , which are rotations of t…
Positive Dehn Twist Expressions for some New Involutions in the Mapping Class Group II
Yusuf Ziya Gurtas
The positive Dehn twist expressions for the generalizations of the new involutions described in math.GT/0404310 are presented. The homeomorphism types of the Lefschetz fibrations t…
Positive Dehn Twist Expressions for some New Involutions in Mapping Class Group
Yusuf Ziya Gurtas
The well-known fact that any genus symplectic Lefschetz fibration is given by a word that is equal to the identity element in the mapping class group and each…