3 papers
math.RT2024
Unbounded -laminations around punctures
Tsukasa Ishibashi, Shunsuke Kano
We continue to study the unbounded -laminations [IK22], with a focus on their structures at punctures. A key ingredient is their relation to the root data of $\mat…
math.GT2020
Sign stability of mapping classes on marked surfaces II: general case via reductions
Tsukasa Ishibashi, Shunsuke Kano
We give a cluster algebraic description of the reduction procedure of mapping classes along a multicurve. Based on this description, we characterize pseudo-Anosov mapping classes o…
math.DS2019
Algebraic entropy of sign-stable mutation loops
Tsukasa Ishibashi, Shunsuke Kano
We introduce a property of mutation loops, called the sign stability, with a focus on an asymptotic behavior of the iteration of the tropical -transformation. A sign-s…