3 papers
math.GT2025
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…
math.GT2013
Arbitrarily Long Factorizations in Mapping Class Groups
Elif Dalyan, Mustafa Korkmaz, Mehmetcik Pamuk
On a compact oriented surface of genus with boundary components, , we consider positive factorizations of the boundary multitwist $t_{δ_1} t_{δ_…
math.GT2012
Open book decompositions of links of quotient surface singularities and support genus problem
Elif Dalyan
In this paper we write explicitly the open book decompositions of links of quotient surface singularities supporting the corresponding unique Milnor fillable contact structure. The…