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pro vyhledávání: '"Rodríguez Viorato, Jesús"'
This paper continues a program due to Motegi regarding universal bounds for the number of non-isotopic essential $n$-punctured tori in the complement of a hyperbolic knot in $S^3$. For $n=1$, Valdez-S\'anchez showed that there are at most five non-is
Externí odkaz:
http://arxiv.org/abs/2304.09312
Topological Data Analysis (TDA) is a modern approach to Data Analysis focusing on the topological features of data; it has been widely studied in recent years and used extensively in Biology, Physics, and many other areas. However, financial markets
Externí odkaz:
http://arxiv.org/abs/2203.05603
Publikováno v:
In Topology and its Applications 1 September 2024 354
Publikováno v:
In Topology and its Applications 15 June 2024 351
We give a Python program that is capable to compute and print all the distinct trivalent 2-stratifold graphs up to $N$ white vertices with trivial fundamental group. Our algorithm uses the three basic operations to construct new graphs from any set o
Externí odkaz:
http://arxiv.org/abs/2011.13107
Autor:
Rodríguez-Viorato, Jesús
Publikováno v:
Algebr. Geom. Topol. 22 (2022) 2187-2237
We prove that there is a knot $K$ transverse to $\xi_{std}$, the tight contact structure of $S^3$, such that every contact 3-manifold $(M, \xi)$ can be obtained as a contact covering branched along $K$. By contact covering we mean a map $\varphi: M \
Externí odkaz:
http://arxiv.org/abs/2001.03663
Autor:
Eudave-Muñoz, Mario, Manjarrez-Gutiérrez, Fabiola, Ramírez-Losada, Enrique, Rodríguez-Viorato, Jesús
The genus of satellite tunnel number one knots and torti-rational knots is computed using the tools introduced by Floyd and Hatcher. An implementation of an algorithm is given to compute genus and slopes of minimal genus Seifert surfaces for such kno
Externí odkaz:
http://arxiv.org/abs/1905.09873
Let $t_{\alpha,\beta}\subset S^2\times S^1$ be an ordinary fiber of a Seifert fibering of $S^2\times S^1$ with two exceptional fibers of order $\alpha$. We show that any Seifert manifold with Euler number zero is a branched covering of $S^2\times S^1
Externí odkaz:
http://arxiv.org/abs/1612.07822
Autor:
Rodríguez-Viorato, Jesús
Conjecture $\mathbb{Z}$ is a knot theoretical equivalent form of the Kervaire Conjecture. We say that a knot have property $\mathbb{Z}$ if it satisfies Conjecture $\mathbb{Z}$ for that specific knot. In this work, we show that alternating Montesinos
Externí odkaz:
http://arxiv.org/abs/1606.07033
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