21 citations · 98 across the 26 of their papers we have counts for
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math.GT2010★ 1 cited
Pants decompositions of random surfaces
Larry Guth, Hugo Parlier, Robert Young
Our goal is to show, in two different contexts, that "random" surfaces have large pants decompositions. First we show that there are hyperbolic surfaces of genus for which any…
math.GR2010★ 5 cited
High-dimensional fillings in Heisenberg groups
Robert Young
We use intersections with horizontal manifolds to show that high-dimensional cycles in the Heisenberg group can be approximated efficiently by simplicial cycles. This lets us calcu…
math.GR2010★ 19 cited
Pushing fillings in right-angled Artin groups
Aaron Abrams, Noel Brady, Pallavi Dani +2
We construct "pushing maps" on the cube complexes that model right-angled Artin groups (RAAGs) in order to study filling problems in certain subsets of these cube complexes. We use…