4 papers · 1 filter
Detecting Free Products in the Mapping Class Group of Punctured Disks via Dynnikov Coordinates
Elif Medetoğulları, Elif Dalyan, S. Öykü Yurttaş
We prove that Dehn twists about opposite curves that define a complete partition on an -punctured disk generate either a free group or a free product of abelian groups. Ad…
Curves on non--orientable surfaces and crosscap transpositions
S. Öykü Yurttaş
Let be an --punctured non--orientable surface of genus with one boundary component. For one of the generators of the mapping class group of is…
Applications of the Dynnikov coordinate system on the boundary of Teichmüller space
S. Öykü Yurttaş
The Dynnikov coordinate system puts global coordinates on the boundary of Teichmüller space of an --punctured disk. We survey the Dynnikov coordinate system, and investigate how…
Geometric intersection of curves on punctured disks
S. Öykü Yurttaş
We give a recipe to compute the geometric intersection number of an integral lamination with a particular type of integral lamination on an n-times punctured disk. This provides a…