Work

Teichmüller Curves in Hyperelliptic Components of Meromorphic Strata

Year: 2025

Type: article

Abstract: We provide a complete classification of Teichmüller curves occurring in hyperelliptic components of the meromorphic strata of differentials. Using a non-existence criterion based on how Teichmüller curves intersect the boundary of the moduli space we derive a contradiction to the algebraicity of any candidate outside of Hurwitz covers of strata with projective dimension one, and Hurwitz covers of zero residue loci in strata with projective dimension two.

Source: Journal of the Institute of Mathematics of Jussieu

DOI: 10.1017/s1474748025000088

Authors: Martin Möller, Scott Mullane, Benjamin Bakker, Scott Mullane

Institutions: Goethe University Frankfurt, The University of Melbourne, University of Illinois Chicago

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Alexander von Humboldt-Stiftung, Deutsche Forschungsgemeinschaft, H2020 European Research Council

Award: G6320660085