Zobrazeno 1 - 10
of 161
pro vyhledávání: '"Hass, Joel"'
Autor:
Even-Zohar, Chaim, Hass, Joel
Publikováno v:
Israel Journal of Math, 256, 153-211, 2023
We develop a general method for constructing random manifolds and submanifolds in arbitrary dimensions. The method is based on associating colors to the vertices of a triangulated manifold, as in recent work for curves in 3-dimensional space by Sheff
Externí odkaz:
http://arxiv.org/abs/2207.03931
Autor:
Hass, Joel
This paper examines the relationship between a profile curve of a surface in 3 dimensions and the isotopy class of the surface.
Comment: 12 pages, 13 figures
Comment: 12 pages, 13 figures
Externí odkaz:
http://arxiv.org/abs/2205.01737
Autor:
Hass, Joel, Trnkova, Maria
We study the problem of approximating a surface $F$ in $R^3$ by a high quality mesh, a piecewise-flat triangulated surface whose triangles are as close as possible to equilateral. The MidNormal algorithm generates a triangular mesh that is guaranteed
Externí odkaz:
http://arxiv.org/abs/2001.09081
Publikováno v:
Illinois J. Math. 65 (2021), no. 3, 533-545
Decomposing knots and links into tangles is a useful technique for understanding their properties. The notion of prime tangles was introduced by Kirby and Lickorish in [3]; Lickorish proved [5] that by summing prime tangles one obtains a prime link.
Externí odkaz:
http://arxiv.org/abs/1906.06571
Publikováno v:
Indiana University Mathematics Journal 70 (2021), no. 2, 525-534
Let $L$ be a non-split prime alternating link with $n>0$ crossings. We show that for each fixed $g$, the number of genus-$g$ Seifert surfaces for $L$ is bounded by an explicitly given polynomial in $n$. The result also holds for all spanning surfaces
Externí odkaz:
http://arxiv.org/abs/1809.10996
Publikováno v:
Journal of Knot Theory and Its Ramifications, Vol. 28, No. 07, 1950031 (June 2019)
We study collections of planar curves that yield diagrams for all knots. In particular, we show that a very special class called potholder curves carries all knots. This has implications for realizing all knots and links as special types of meanders
Externí odkaz:
http://arxiv.org/abs/1804.09860
Algorithms that decompose a manifold into simple pieces reveal the geometric and topological structure of the manifold, showing how complicated structures are constructed from simple building blocks. This note describes a way to algorithmically const
Externí odkaz:
http://arxiv.org/abs/1711.02763
Publikováno v:
Algebr. Geom. Topol. 18 (2018) 3647-3667
The representation of knots by petal diagrams (Adams et al. 2012) naturally defines a sequence of distributions on the set of knots. In this article we establish some basic properties of this randomized knot model. We prove that in the random n-petal
Externí odkaz:
http://arxiv.org/abs/1706.06571
Autor:
Hass, Joel
Isoperimetric regions minimize the size of their boundaries among all regions with the same volume. In Euclidean and Hyperbolic space, isoperimetric regions are round balls. We show that isoperimetric regions in two and three-dimensional nonpositivel
Externí odkaz:
http://arxiv.org/abs/1604.02768
Autor:
Hass, Joel
There are hyperbolic 3-manifolds that fiber over the circle but that do not admit fibrations by minimal surfaces. These manifolds do not admit fibrations by surfaces that are even approximately minimal.
Externí odkaz:
http://arxiv.org/abs/1512.04145