66 citations · 78 across the 6 of their papers we have counts for
10 papers
Automorphisms of the Hatcher-Thurston complex
Elmas Irmak, Mustafa Korkmaz
Let S be a compact, connected, orientable surface of positive genus. Let HT(S) be the Hatcher-Thurston complex of S. We prove that Aut(HT(S)) is isomorphic to the extended mapping…
Generating the surface mapping class group by two elements
Mustafa Korkmaz
Wajnryb proved that the mapping class group of an orientable surface is generated by two elements. We prove that one of these generators can be taken as a Dehn twist. We also prove…
On a question of Brendle and Benson
Mustafa Korkmaz
In this note we prove that there is no constant , depending on the genus of the surface, such that every element in the mapping class group can be written as a product of at mos…
Low-dimensional homology groups of mapping class groups: a survey
Mustafa Korkmaz
In this survey paper, we give a complete list of known results on the first and the second homology groups of surface mapping class groups. Some known results on higher (co)homolog…
On cofinite subgroups of mapping class groups
Mustafa Korkmaz
For any positive integer , we exhibit a cofinite subgroup of the mapping class group of a surface of genus at most two such that admits an epimorphism onto a free gr…
Homomorphisms from mapping class groups
William Harvey, Mustafa Korkmaz
This paper concerns rigidity of the mapping class groups. We show that any homomorphism between mapping class groups of closed orientable surfaces wi…