Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Yıldız, Oğuz"'
We study torsion generators for the (extended) mapping class group or the extended mapping class group of a closed connected orientable surface of genus g. We show that for every g is grater than or equal to 14, mapping class group can be generated b
Externí odkaz:
http://arxiv.org/abs/2312.04058
Let S = S(n) denote the infinite surface with n ends, n \in N, accumulated by genus. For n \geq 6, we show that the mapping class group of S is topologically generated by five involutions. When n \geq 3, it is topologically generated by six involutio
Externí odkaz:
http://arxiv.org/abs/2306.06374
Let $\textrm{Mod}(N_{g, p})$ denote the mapping class group of a nonorientable surface of genus $g$ with $p$ punctures. For $g\geq14$, we show that $\textrm{Mod}(N_{g, p})$ can be generated by five elements or by six involutions.
Comment: 9 page
Comment: 9 page
Externí odkaz:
http://arxiv.org/abs/2302.01731
Let Mod(Sigma_{g, p}) denote the mapping class group of a connected orientable surface of genus g with p punctures. For every even integer p \geq 10 and g \geq 14, we prove that Mod(Sigma_{g, p}) can be generated by three involutions. If the number o
Externí odkaz:
http://arxiv.org/abs/2209.12382
We obtain a minimal generating set of involutions for the level 2 subgroup of the mapping class group of a closed nonorientable surface.
Comment: 8 pages, 8 figures. Any comments or suggestions are welcome
Comment: 8 pages, 8 figures. Any comments or suggestions are welcome
Externí odkaz:
http://arxiv.org/abs/2202.06224
We prove that, for $g\geq19$ the mapping class group of a nonorientable surface of genus $g$, $\textrm{Mod}(N_g)$, can be generated by two elements, one of which is of order $g$. We also prove that for $g\geq26$, $\textrm{Mod}(N_g)$ can be generated
Externí odkaz:
http://arxiv.org/abs/2104.10958
We show that the twist subgroup $\mathcal{T}_g$ of a nonorientable surface of genus $g$ can be generated by two elements for every odd $g\geq27$ and even $g\geq42$. Using these generators, we can also show that $\mathcal{T}_g$ can be generated by two
Externí odkaz:
http://arxiv.org/abs/2103.10483
Publikováno v:
In Topology and its Applications 15 April 2024 347
We prove that the extended mapping class group, $\rm Mod^{*}(\Sigma_{g})$, of a connected orientable surface of genus $g$, can be generated by three involutions for $g\geq 5$. In the presence of punctures, we prove that $\rm Mod^{*}(\Sigma_{g,p})$ ca
Externí odkaz:
http://arxiv.org/abs/2003.10907
Autor:
Yildiz, Oguz
We prove that the mapping class group of a closed connected orientable surface of genus $g$ is generated by two elements of order $g$ for $g\geq 6$. Moreover, for $g\geq 7$ we found a generating set of two elements, of order $g$ and $g'$ which is the
Externí odkaz:
http://arxiv.org/abs/2003.05789