55 citations · 242 across the 28 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
math.GT2013★ 2 cited
Products of Farey graphs are totally geodesic in the pants graph
Samuel J. Taylor, Alexander Zupan
We show that for a surface S, the subgraph of the pants graph determined by fixing a collection of curves that cut S into pairs of pants, once-punctured tori, and four-times-punctu…
math.GT2013★ 1 cited
Uniqueness of higher genus bridge surfaces for torus knots
Alexander Zupan
We show that a torus knot which is not 2-bridge has a unique irreducible bridge splitting of positive genus.
math.GT2013★ 3 cited
Bridge spectra of iterated torus knots
Alexander Zupan
We determine the set of all genus g bridge numbers of many iterated torus knots, listing these numbers in a sequence called the bridge spectrum. In addition, we prove a structural…