1 citations · 1 across the 6 of their papers we have counts for
8 papers
Bridge position of 3-manifolds embedded in the 5-sphere
Román Aranda, Sarah Blackwell, Geunyoung Kim +2
We introduce and study bridge decompositions for 3-manifolds embedded in the 5-sphere. These generalize both the classical notion of bridge position for knots in the 3-sphere and t…
Danceability, A New Definition of Bridge Index
Sol Addison, Sarah Blackwell, Puttipong Pongtanapaisan +3
There are many commonly known definitions of the bridge index coming from combinatorial knot theory, Morse theory, geometry, and algebra. In this paper, we prove that the danceabil…
Bridge indices of spatial graphs and diagram colorings
Sarah Blackwell, Puttipong Pongtanapaisan, Hanh Vo
We extend the Wirtinger number of links, an invariant originally defined by Blair, Kjuchukova, Velazquez, and Villanueva in terms of extending initial colorings of some strands of…
Pants distances of knotted surfaces in 4-manifolds
Román Aranda, Sarah Blackwell, Devashi Gulati +4
We define a pants distance for knotted surfaces in 4-manifolds, which generalizes the complexity studied by Blair-Campisi-Taylor-Tomova for surfaces in the 4-sphere. We determine t…
Constructing Lagrangians from triple grid diagrams
Sarah Blackwell, David T. Gay, Peter Lambert-Cole
Links in can be encoded by grid diagrams; a grid diagram is a collection of points on a toroidal grid such that each row and column of the grid contains exactly two points. G…
A group-theoretic framework for low-dimensional topology
Sarah Blackwell, Robion Kirby, Michael Klug +2
A correspondence, by way of Heegaard splittings, between closed oriented 3-manifolds and pairs of surjections from a surface group to a free group has been studied by Stallings, Ja…
Constructions of Lagrangian cobordisms
Sarah Blackwell, Noémie Legout, Caitlin Leverson +6
Lagrangian cobordisms between Legendrian knots arise in Symplectic Field Theory and impose an interesting and not well-understood relation on Legendrian knots. There are some known…
A Generalization of Mordell to Ternary Quadratic Forms
Sarah Blackwell, Gabriel Durham, Katherine Thompson +1
Mordell in 1958 gave a new proof of the three squares theorem. We generalize those techniques to characterize the integers represented by the remaining six "Ramanujan-Dickson terna…