2 papers
math.GT2020
Finite Rigid Sets in Flip Graphs
Emily Shinkle
We show that for most pairs of surfaces, there exists a finite subgraph of the flip graph of the first surface so that any injective homomorphism of this finite subgraph into the f…
math.GT2019
Finite Rigid Sets in Arc Complexes
Emily Shinkle
For any compact, connected, orientable, finite-type surface with marked points other than the sphere with three marked points, we construct a finite rigid set of its arc complex: a…