Mustafa Korkmaz

E-mail

korkmaz@metu.edu.tr

Department

Department of Mathematics

ORCID

0000-0002-2731-7097

Scopus Author ID

36059157800

Web of Science Researcher ID

ABA-3419-2020

GEOGRAPHY OF SYMPLECTIC LEFSCHETZ FIBRATIONS AND RATIONAL BLOWDOWNS Baykur, R. Inanç; Korkmaz, Mustafa; Simone, Jonathan (2024-10-01) 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 symplectic extension of the classical works p...
Geography of surface bundles over surfaces Baykur, R. İ. Nanç; Korkmaz, Mustafa (2024-01-01) We construct symplectic surface bundles over surfaces with positive signatures for all but 19 possible pairs of fiber and base genera. Meanwhile, we determine the commutator lengths of a few new mapping classes.
Low-dimensional linear representations of mapping class groups Korkmaz, Mustafa (2023-09-01) Let (Formula presented.) be a compact orientable surface of genus (Formula presented.) with marked points in the interior. Franks–Handel (Proc. Amer. Math. Soc. 141 (2013) 2951–2962) proved that if (Formula presented.) the...
Generating surface mapping class groups by involutions and commutators. Korkmaz, Mustafa (2023-05-26)
The mapping class group is generated by two commutators Baykur, R. Inanc; Korkmaz, Mustafa (2021-05-01) 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 three commutators. (C) 2021 Elsevier Inc. A...
Low-slope Lefschetz fibrations Çengel, Adalet; Korkmaz, Mustafa (2021-01-01) For any g ≥ 3, we construct genus-g Lefschetz fibrations over the two-sphere whose slopes are arbitrarily close to 2. The total spaces of the Lefschetz fibrations can be chosen to be minimal and simply connected. It is als...
Finite rigid sets in curve complexes of nonorientable surfaces Ilbira, Sabahattin; Korkmaz, Mustafa (Springer Science and Business Media LLC, 2020-06-01) 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 the surface. In this paper, we find finite r...
Mapping class group is generated by three involutions Korkmaz, Mustafa (2020-01-01) We prove that the mapping class group of a closed connected orientable surface of genus at least eight is generated by three involutions.
Commutator and stable commutator lengths in groups Korkmaz, Mustafa (null; 2019-09-18)
Yüzeylerin Gönderim Sınıfları Grubunun Üreteçleri Korkmaz, Mustafa (2019-08-18)

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