66 citations · 179 across the 23 of their papers we have counts for
28 papers
Geography of symplectic Lefschetz fibrations and rational blowdowns
R. Inanc Baykur, Mustafa Korkmaz, Jonathan Simone
We produce simply connected, minimal, symplectic Lefschetz fibrations realizing all the lattice points in the symplectic geography plane below the Noether line. This provides a sym…
Low-slope Lefschetz fibrations
Adalet Cengel, Mustafa Korkmaz
For , we construct genus- Lefschetz fibrations over the two-sphere whose slopes are arbitrarily close to . The total spaces of the Lefschetz fibrations can be chosen…
The mapping class group is generated by two commutators
R. Inanc Baykur, Mustafa Korkmaz
We show that the mapping class group of any closed connected orientable surface of genus at least five is generated by only two commutators, and if the genus is three or four, by t…
Mapping class group is generated by three involutions
Mustafa Korkmaz
We prove that the mapping class group of a closed connected orientable surface of genus at least eight is generated by three involutions.
Finite Rigid Sets in Curve Complexes of Non-Orientable Surfaces
Sabahattİn Ilbira, Mustafa Korkmaz
A rigid set in a curve complex of a surface is a subcomplex such that every locally injective simplicial map from the set into the curve complex is induced by a homeomorphism of th…
Small Lefschetz fibrations and exotic 4-manifolds
R. Inanc Baykur, Mustafa Korkmaz
We explicitly construct genus-2 Lefschetz fibrations whose total spaces are minimal symplectic 4-manifolds homeomorphic to complex rational surfaces CP^2 # p (-CP^2) for p=7, 8, 9,…