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Mehmetcik Pamuk
E-mail
mpamuk@metu.edu.tr
Department
Department of Mathematics
ORCID
0000-0003-1576-3919
Scopus Author ID
25825487400
Web of Science Researcher ID
A-7137-2017
Publications
Theses Advised
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Projects
Generating the level 2 subgroup by involutions
Altunöz, Tülin; Monden, Naoyuki; Pamuk, Mehmetcik; Yıldız, Oğuz (2024-04-15)
We obtain a minimal generating set of involutions for the level 2 subgroup of the mapping class group of a closed nonorientable surface.
THE TWIST SUBGROUP IS GENERATED BY TWO ELEMENTS
Altunöz, Tülin; Pamuk, Mehmetcik; Yildiz, Oguz (2024-01-01)
We show that the twist subgroup Tg of a nonorientable surface of genus g can be generated by two elements for every odd g ≥ 21 and even g ≥ 50. Using these generators, we can also show that Tg can be generated by two or th...
Involution generators of the big mapping class group
Altunöz, Tülin; Pamuk, Mehmetcik; Ylldlz, Oǧuz (2024-01-01)
Let S = S(n) denote the infinite-type surface with n ends, n ? N, accumulated by genus. For n = 6, we show that the mapping class group of S is topologically generated by five involutions. When n = 3, it is topologically g...
Contiguity distance between simplicial maps
Borat, Ayse; Pamuk, Mehmetcik; VERGİLİ, TANE (2023-01-01)
For simplicial complexes and simplicial maps, the notion of being in the same contiguity class is defined as the discrete version of homotopy. In this paper, we study the contiguity distance, SD, between two simplicial map...
Torsion Generators Of The Twist Subgroup
Altunöz, Tülin; Pamuk, Mehmetcik; Yildiz, Oguz (2022-1-01)
We show that the twist subgroup of the mapping class group of a closed connected nonorientable surface of genus g >= 13 can be generated by two involutions and an element of order g or g -1 depending on whether 9 is odd or...
Generating the Mapping Class Group of a Nonorientable Surface by Two Elements or by Three Involutions
Altunöz, Tülin; Pamuk, Mehmetcik; Yildiz, Oguz (2022-01-01)
We prove that, for g≥ 19 the mapping class group of a nonorientable surface of genus g, Mod (Ng) , can be generated by two elements, one of which is of order g. We also prove that for g≥ 26 , Mod (Ng) can be generated by t...
Generating the twist subgroup by involutions
Altunöz, Tülin; Pamuk, Mehmetcik; Yildiz, Oguz (2020-01-01)
For a nonorientable surface, the twist subgroup is an index 2 subgroup of the mapping class group generated by Dehn twists about two-sided simple closed curves. In this paper, we consider involution generators of the twist...
Decomposing perfect discrete Morse functions on connected sum of 3-manifolds
Kosta, Neza Mramor; Pamuk, Mehmetcik; Varli, Hanife (2019-06-15)
In this paper, we show that if a closed, connected, oriented 3-manifold M = M-1 # M-2 admits a perfect discrete Morse function, then one can decompose this function as perfect discrete Morse functions on M-1 and M-2. We al...
Integral laminations on nonorientable surfaces
Oyku Yurttas, Syed; Pamuk, Mehmetcik (2018-01-01)
We describe triangle coordinates for integral laminations on a nonorientable surface N-k,N-n of genus kwithn punctures and one boundary component, and we give an explicit bijection from the set of integral laminations on N...
Perfect Discrete Morse Functions On Connected Sums
Pamuk, Mehmetcik (2017-07-01)
In this talk, we study perfect discrete Morse functions on closed oriented n-dimensional manifolds. First, we show how to compose such functions on connected sums of manifolds. Then we discuss how to decompose such functio...
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