2 papers
math.GT2022
Big Flip Graphs and Their Automorphism Groups
Assaf Bar-Natan, Advay Goel, Brendan Halstead +3
In this paper, we study the relationship between the mapping class group of an infinite-type surface and the simultaneous flip graph, a variant of the flip graph for infinite-type…
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…