A transfer principle: from periods to isoperiodic foliations

DOI10.1007/s00039-023-00627-wOpenAlexW2180737121MaRDI QIDQ2689809

Gabriel Calsamiglia, Bertrand Deroin, Stefano Francaviglia

Publication date: 14 March 2023

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07635

zbMATH Keywords

Hodge bundleisoperiodic abelian differentialsisoperiodic foliation

Mathematics Subject Classification ID

Related Items (4)

Schiffer variations and abelian differentials ⋮ Translation surfaces and periods of meromorphic differentials ⋮ Haupt's theorem for strata of abelian differentials ⋮ Rel leaves of the Arnoux-Yoccoz surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Moduli spaces of isoperiodic forms on Riemann surfaces
• Moduli spaces of quadratic differentials
• Connected components of strata of abelian differentials over Teichmüller space
• On the classification of generic branched coverings of surfaces
• Raghunathan's topological conjecture and distributions of unipotent flows
• On elliptic modular foliations
• The extended Teichmüller space
• Deformation of maps to branched coverings in dimension two
• Interval exchange transformations and measured foliations
• The Torelli groups for genus 2 and 3 surfaces
• Degenerating families of Riemann surfaces
• The extension of the Weil-Petersson metric to the boundary of Teichmüller space
• Conjugacy relations in subgroups of the mapping class group and a group- theoretic description of the Rochlin invariant
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Connected components of the moduli spaces of Abelian differentials with prescribed singularities
• Moduli spaces of Abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants
• Ergodicity of the absolute period foliation
• Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
• Rel leaves of the Arnoux-Yoccoz surfaces
• Closed trajectories for quadratic differentials with an application to billiards
• On the geometry of Weil-Petersson completion of Teichmüller spaces
• Compactification of strata of abelian differentials
• Cylinder deformations in orbit closures of translation surfaces
• Navigating moduli space with complex twists
• Cutting and pasting in the Torelli group
• Euler characteristics of Teichmüller curves in genus two
• An analytic construction of the Deligne-Mumford compactification of the moduli space of curves
• The irreducibility of the space of curves of a given genus
• Branched projective structures with Fuchsian holonomy
• Dynamics of \(\text{SL}_2(\mathbb R)\) over moduli space in genus two
• Geometry of Algebraic Curves
• Periods of abelian differentials and dynamics
• Foliations of Hilbert modular surfaces
• Families of Riemann surfaces and Weil-Petersson geometry
• Finite dimensional Teichmüller spaces and generalizations
• Real Analytic Structures on the Moduli Space of Curves
• Deformations and moduli of Riemann Surfaces with nodes and signatures.
• Veech surfaces and complete periodicity in genus two
• Relative homological representations of framed mapping class groups
• Periods of Abelian Differentials With Prescribed Singularities
• Ergodicity of Flows on Homogeneous Spaces
• On the Coefficients of Simple Functions
• Geometry and spectra of compact Riemann surfaces
• Augmented Teichmüller spaces and orbifolds

This page was built for publication: A transfer principle: from periods to isoperiodic foliations