The distribution of critical graphs of Jenkins-Strebel differentials
| Autor: | Arana-Herrera, Francisco, Calderon, Aaron |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | By work of Jenkins and Strebel, given a Riemann surface X and a simple closed multi-curve $\alpha$ on it, there exists a unique quadratic differential q on X whose horizontal foliation is measure equivalent to $\alpha$. We study the distribution of the critical graphs of these differentials in the moduli space of metric ribbon graphs as the extremal length of the multi-curves goes to infinity, showing they equidistribute to the Kontsevich measure regardless of the initial choice of X. Comment: 33 pages, 3 figures. Comments welcome! |
| Databáze: | arXiv |
| Externí odkaz: |
|