no code implementations • 28 Jan 2021 • Mark Bell, Vincent Delecroix, Vaibhav Gadre, Rodolfo Gutiérrez-Romo, Saul Schleimer
We define the flow group of any component of any stratum of rooted abelian or quadratic differentials (those marked with a horizontal separatrix) to be the group generated by almost-flow loops.
Dynamical Systems 30F60 (Primary) 37D40, 37G15, 37A20 (Secondary)
no code implementations • 24 Mar 2019 • Vincent Delecroix, Elise Goujard, Peter Zograf, Anton Zorich
We compute explicitly the absolute contribution of square-tiled surfaces having a single horizontal cylinder to the Masur-Veech volume of any ambient stratum of Abelian differentials.
Geometric Topology Combinatorics Dynamical Systems 32G15, 05C30
