2015/10/26 by Erlandsson, Viveka, Fanoni, Federica
#05C60 #30F99 #57M15 #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.1510.07700
We study some graphs associated to a surface, called k-multicurve graphs, which interpolate between the curve complex and the pants graph. Our main result is that, under certain conditions, simplicial embeddings between multicurve graphs are induced by π1-injective embeddings of the corresponding surfaces. We also prove the rigidity of the multicurve graphs.