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math.GR2017
Conjugation curvature for Cayley graphs
Assaf Bar-Natan, Moon Duchin, Robert Kropholler
We introduce a notion of Ricci curvature for Cayley graphs that can be thought of as "medium-scale" because it is neither infinitesimal nor asymptotic, but based on a chosen finite…
math.GT2017
Arcs on Punctured Disks Intersecting at Most Twice with Endpoints on the Boundary
Assaf Bar-Natan
Let be the -punctured disk. We prove that a family of essential simple arcs starting and ending at the boundary and pairwise intersecting at most twice is of size at most…