23 citations · 100 across the 31 of their papers we have counts for
40 papers
Composition Properties of Hyperbolic Links in Handlebodies
Colin Adams, Daniel Santiago
We consider knots and links in handlebodies that have hyperbolic complements and operations akin to composition. Cutting the complements of two such open along separating twice-pun…
Hyperbolic Knotoids
Colin Adams, Alexandra Bonat, Maya Chande +6
In 2010, Turaev introduced knotoids as a variation on knots that replaces the embedding of a circle with the embedding of a closed interval with two endpoints. A variety of knot in…
Generalizations of Knotoids and Spatial Graphs
Colin Adams, Alexandra Bonat, Maya Chande +6
In 2010, Turaev introduced knotoids as a variation on knots that replaces the embedding of a circle with the embedding of a closed interval with two endpoints which here we call po…
Lower Bounds on Volumes of Hyperbolic 3-Manifolds via Decomposition
Colin Adams, Michele Capovilla-Searle, Darin Li +5
In a variety of settings we provide a method for decomposing a 3-manifold into pieces. When the pieces have the appropriate type of hyperbolicity, then the manifold is hype…
TG-Hyperbolicity of Composition of Virtual Knots
Colin Adams, Alexander Simons
The composition of any two nontrivial classical knots is a satellite knot, and thus, by work of Thurston, is not hyperbolic. In this paper, we explore the composition of virtual kn…
Virtual Multicrossings and Petal Diagrams for Virtual Knots and Links
Colin Adams, Chaim Even-Zohar, Jonah Greenberg +6
Multicrossings, which have previously been defined for classical knots and links, are extended to virtual knots and links. In particular, petal diagrams are shown to exist for all…