Spectral selectors on lens spaces and applications to the geometry of the group of contactomorphisms
Using Givental’s non-linear Maslov index we define a sequence of spectral selectors on the universal cover of the identity component of the contactomorphism group of any lens space. As applications, we prove for lens spaces with equal weights that the standard Reeb flow is a geodesic for the discriminant and oscillation norms, and we define for general lens spaces a stably unbounded conjugation invariant spectral pseudonorm.
Authors
- Pierre-Alexandre Arlove (ORCID: https://orcid.org/0009-0002-2187-9096)
- Simon Allais
- Sheila Sandon
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université de Strasbourg (FR)
- Ruhr University Bochum (DE)
Publication Details
- Journal
- Annales Henri Lebesgue
- Published
- 2025-05-20
- DOI
- https://doi.org/10.5802/ahl.229
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Deutsche Forschungsgemeinschaft
- Agence Nationale de la Recherche
- Institut National de la Santé et de la Recherche Médicale
- Université de Strasbourg
- Centre National de la Recherche Scientifique
- Fondation Sciences Mathématiques de Paris