Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Menasco, William"'
Autor:
Alegria, Linda V., Menasco, William W.
From classical knot theory we know that every knot in $S^3$ is the boundary of an oriented, embedded surface. A standard demonstration of this fact achieved by elementary technique comes from taking a regular projection of any knot and employing Seif
Externí odkaz:
http://arxiv.org/abs/2405.14805
Autor:
Menasco, William W., Solanki, Deepisha
Our main results concern changing an arbitrary plat presentation of a split or composite link to one which is obviously recognizable as being split or composite. Pocket moves, first described in \cite{unlinkviaplats}, are utilized -- a pocket move al
Externí odkaz:
http://arxiv.org/abs/2402.09669
Autor:
Chang, Hong, Menasco, William W.
Let $S_g$ denote the genus $g$ closed orientable surface. A \emph{coherent filling pair} of simple closed curves, $(\alpha,\beta)$ in $S_g$, is a filling pair that has its geometric intersection number equal to the absolute value of its algebraic int
Externí odkaz:
http://arxiv.org/abs/2302.03632
Autor:
Menasco, William W., Nichols, Margaret
This is an investigation into a classification of embeddings of a surface in Euclidean $3$-space. Specifically, we consider $\mathbb{R}^3$ as having the product structure $\mathbb{R}^2 \times \mathbb{R}$ and let $\pi:\mathbb{R}^2 \times \mathbb{R} \t
Externí odkaz:
http://arxiv.org/abs/2206.06542
Publikováno v:
In Materials & Design November 2024 247
Publikováno v:
Pacific J. Math. 317 (2022) 1-20
Let $S_{g}$ denote the closed orientable surface of genus $g$. In joint work with Huang, the first author constructed exponentially-many (in $g$) mapping class group orbits of pairs of simple closed curves whose complement is a single topological dis
Externí odkaz:
http://arxiv.org/abs/2108.10268
Autor:
Jin, Xifeng, Menasco, William W.
We show that efficient geodesics have the strong property of "super efficiency". For any two vertices, $v , w \in \mathcal{C}(S_g)$, in the complex of curves of a closed oriented surface of genus $g \geq 2 $, and any efficient geodesic, $v = v_1 , \c
Externí odkaz:
http://arxiv.org/abs/2008.09665
An "origami" (or flat structure) on a closed oriented surface, $S_g$, of genus $g \geq 2$ is obtained from a finite collection of unit Euclidean squares by gluing each right edge to a left one and each top edge to a bottom one. The main objects of st
Externí odkaz:
http://arxiv.org/abs/2008.09179
Autor:
Menasco, William W.
This is a short expository article on alternating knots and is to appear in the Concise Encyclopedia of Knot Theory.
Comment: 12 pages, 11 figures
Comment: 12 pages, 11 figures
Externí odkaz:
http://arxiv.org/abs/1901.00582
Publikováno v:
In Topology and its Applications 1 July 2021 298