Intersection numbers in the curve graph with a uniform constant

2015/02/23 by Yohsuke Watanabe, Watanabe, Yohsuke
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1502.06367

openalex publication_date 2015/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive various inequalities involving the intersection number of the curves contained in geodesics and tight geodesics in the curve graph. While there already exist such inequalities on tight geodesics, our method applies in the setting of geodesics. Furthermore, the method gives inequalities with a uniform constant depending only on the topology of the surface.

Citations

• Uniform local finiteness of the curve graph via subsurface projections

Related

• Intersection numbers in the curve complex via subsurface projections
• Tightness and computing distances in the curve complex
• Distances and intersections of curves
• Uniform local finiteness of the curve graph via subsurface projections
• Distance and intersection number in the curve graph of a surface