Distances and intersections of curves

2017/09/10 by Watanabe, Yohsuke
#FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1709.03047

Abstract

We obtain a coarse relationship between geometric intersection numbers of curves and the sum of their subsurface projection distances with explicit quasi-constants. By using this relationship, we give applications in the studies of the curve graphs and the mapping class groups.

Related

• Intersection numbers in the curve complex via subsurface projections
• Intersection numbers in the curve graph with a uniform constant
• Distance and intersection number in the curve graph of a surface
• Intersections of curves on surfaces and their applications to mapping class groups
• Tightness and computing distances in the curve complex