72 citations · 234 across the 28 of their papers we have counts for
30 papers
A Seifert algorithm for integral homology spheres
Linda V. Alegria, William W. Menasco
From classical knot theory we know that every knot in is the boundary of an oriented, embedded surface. A standard demonstration of this fact achieved by elementary technique…
Studying links via plats: split and composite links
William W. Menasco, Deepisha Solanki
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, firs…
A construction of minimal coherent filling pairs
Hong Chang, William W. Menasco
Let denote the genus closed orientable surface. A \emph{coherent filling pair} of simple closed curves, in , is a filling pair that has its geometric interse…
Surface embeddings in
William W. Menasco, Margaret Nichols
This is an investigation into a classification of embeddings of a surface in Euclidean -space. Specifically, we consider as having the product structure $\mathbb{…
Origamis associated to minimally intersecting filling pairs
Tarik Aougab, William Menasco, Mark Nieland
Let denote the closed orientable surface of genus . In joint work with Huang, the first author constructed exponentially-many (in ) mapping class group orbits of pair…
Super efficiency of efficient geodesics in the complex of curves
Xifeng Jin, William W. Menasco
We show that efficient geodesics have the strong property of "super efficiency". For any two vertices, , in the complex of curves of a closed oriented s…