Isoperiodic meromorphic forms: two simple poles
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.
Authors
- Gabriel Calsamiglia (ORCID: https://orcid.org/0000-0001-9479-0696)
- Bertrand Deroin
Institutions
- Centre National de la Recherche Scientifique (FR)
- Universidade Federal Fluminense (BR)
- CY Cergy Paris Université (FR)
Publication Details
- Journal
- Groups Geometry and Dynamics
- Published
- 2025-10-09
- DOI
- https://doi.org/10.4171/ggd/799
- Primary Topic
- Meromorphic and Entire Functions
- Type
- article
- Field-Weighted Citation Impact
- 0.00