4 citations · 6 across the 6 of their papers we have counts for
6 papers
Distances and intersections of curves
Yohsuke Watanabe
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 r…
Weak tight geodesics in the curve complex: examples and gaps
Yohsuke Watanabe
Tight geodesics were introduced by Masur-Minsky in [17]. They and their hierarchies have been a powerful tool in the study of the curve complex, mapping class groups, Teichmüller s…
Pseudo-Anosov mapping classes from pure mapping classes
Yohsuke Watanabe
We study types of mapping classes which arise as a product of a given mapping class and powers of certain pure mapping classes. We derive an explicit constant depending only on a s…
Intersection numbers in the curve graph with a uniform constant
Yohsuke Watanabe
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 inequal…
Intersection numbers in the curve complex via subsurface projections
Yohsuke Watanabe
A classical inequality which is due to Lickorish and Hempel says that the distance between two curves in the curve complex can be measured by their intersection number. In this pap…
Uniform local finiteness of the curve graph via subsurface projections
Yohsuke Watanabe
The curve graphs are not locally finite. In this paper, we show that the curve graphs satisfy a property which is equivalent to graphs being uniformly locally finite via Masur--Min…