Work

Isoperiodic meromorphic forms: two simple poles

Year: 2025

Type: article

Abstract: In this paper, we prove that isoperiodic moduli spaces of meromorphic differentials with two simple poles on homologically marked smooth curves are non-empty and connected unless they correspond to double covers of \mathbb{C}/\mathbb{Z} on curves of genus at least two. We deduce dynamical consequences for the corresponding isoperiodic foliation.

Source: Groups Geometry and Dynamics

DOI: 10.4171/ggd/799

Authors: Gabriel Calsamiglia, Bertrand Deroin

Institutions: Universidade Federal Fluminense, Centre National de la Recherche Scientifique, CY Cergy Paris Université

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Agence Nationale de la Recherche

Award: PSI