Work

Effective count of square-tiled surfaces with prescribed real and imaginary foliations in connected components of strata

Year: 2024

Type: article

Abstract: We prove an effective estimate with a power saving error term for the number of square-tiled surfaces in a connected component of a stratum of quadratic differentials whose vertical and horizontal foliations belong to prescribed mapping class group orbits and which have at most L squares. This result strengthens asymptotic counting formulas in the work of Delecroix, Goujard, Zograf, Zorich, and the author.

Source: Ergodic Theory and Dynamical Systems

DOI: 10.1017/etds.2024.54

Author: FRANCISCO ARANA-HERRERA

Institution: University of Maryland, College Park

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,450

OpenAlex ID: W4404119364

FWCI: 0.65

Cites: 10

Cited by: 1

Related to: 10