16 citations · 96 across the 25 of their papers we have counts for
26 papers · 1 filter
Coxeter quotients of knot groups through 16 crossings
Ryan Blair, Alexandra Kjuchukova, Nathaniel Morrison
We find explicit maximal rank Coxeter quotients for the knot groups of 595,515 out of the 1,701,936 knots through 16 crossings. We thus calculate the bridge numbers and verify Capp…
Three-dimensional Rep-tiles
Ryan Blair, Zoe Marley, Ilianna Richards
A 3D rep-tile is a compact 3-manifold in that can be decomposed into finitely many pieces, each of which are similar to , and all of which are congruent to ea…
Self-replicating 3-manifolds
Ryan Blair, Ricky Lee
In this paper we explore the topological properties of self-replicating, 3-dimensional manifolds, which are modeled by idempotents in the (2+1)-cobordism category. We give a classi…
The bridge number of arborescent links with many twigs
Sebastian Baader, Ryan Blair, Alexandra Kjuchukova +1
We prove the meridional rank conjecture for arborescent links associated to plane trees with the following property: all branching points carry a straight branch to at least three…
Kirby-Thompson distance for trisections of knotted surfaces
Ryan Blair, Marion Campisi, Scott A. Taylor +1
We adapt work of Kirby-Thompson and Zupan to define an integer invariant of a bridge trisection of a smooth surface in …
Knots with Exactly 10 Sticks
Ryan Blair, Thomas D. Eddy, Nathaniel Morrison +1
We prove that the knots and both have stick number 10. These are the first non-torus prime knots with more than 9 crossings for which the exact stick num…