Show/Hide Menu
Hide/Show Apps
anonymousUser
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Videos
Videos
Thesis submission
Thesis submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Contact us
Contact us
Mustafa Korkmaz
E-mail
korkmaz@metu.edu.tr
Department
Department of Mathematics
Scopus Author ID
36059157800
Publications
Theses Advised
Open Courses
Projects
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...
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.
Small Lefschetz fibrations and exotic 4-manifolds
Baykur, R. Inanc; Korkmaz, Mustafa (Springer Science and Business Media LLC, 2017-04-01)
We explicitly construct genus-2 Lefschetz fibrations whose total spaces are minimal symplectic 4-manifolds homeomorphic to complex rational surfaces CP2#pCP (CP) over bar (2) for P = 7,8,9, and to 3CP(2)#qCP (CP) over bar ...
Arbitrarily long factorizations in mapping class groups
Korkmaz, Mustafa (2015-05-12)
On a compact oriented surface of genus g with n ≥ 1 boundary components, δ1, δ2, ..., δn, we consider positive factorizations of the boundary multitwist tδ1 tδ2 ...tδn, where tδi is the positive Dehn twist about the bounda...
Arbitrarily Long Factorizations in Mapping Class Groups
DALYAN, ELİF; Korkmaz, Mustafa; Pamuk, Mehmetcik (2015-01-01)
On a compact oriented surface of genus g with n= 1 boundary components, d1, d2,..., dn, we consider positive factorizations of the boundary multitwist td1 td2 tdn, where tdi is the positive Dehn twist about the boundary di...
Automorphisms of curve complexes on nonorientable surfaces
Atalan, Ferihe; Korkmaz, Mustafa (2014-01-01)
For a compact connected nonorientable surface N of genus g with n boundary components, we prove that the natural map from the mapping class group of N to the automorphism group of the curve complex of N is an isomorphism p...
SECTIONS OF SURFACE BUNDLES AND LEFSCHETZ FIBRATIONS
Baykur, R. Inanc; Korkmaz, Mustafa; Monden, Naoyuki (2013-11-01)
We investigate the possible self-intersection numbers for sections of surface bundles and Lefschetz fibrations over surfaces. When the fiber genus g and the base genus h are positive, we prove that the adjunction bound 2h-...
ON THE IDEAL TRIANGULATION GRAPH OF A PUNCTURED SURFACE
Korkmaz, Mustafa; Papadopoulos, Athanase (2012-01-01)
We study the ideal triangulation graph T(S) of an oriented punctured surface S of finite type. We show that if S is not the sphere with at most three punctures or the torus with one puncture, then the natural map from the ...
Minimal generating sets for the mapping class group of a surface
Korkmaz, Mustafa (2012-01-01)
F
P
1
2
3
N
E
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX