TOPOLOGICAL AND DYNAMICAL ASPECTS OF SOME SPECTRAL INVARIANTS OF CONTACT MANIFOLDS WITH A CIRCLE ACTION
Abstract
Abstract We study analytic torsion and eta-like invariants on contact manifolds admitting a CR structure invariant under a transverse circle action, and equipped with a unitary representation. We show that, when defined using the spectrum of relevant operators arising in this geometry, the spectral series involved can been interpreted in their whole, both from a topological viewpoint, and as purely dynamical functions of the Reeb flow.
Fields of Study & Subjects
Geometric and Algebraic Topology
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Journal of the Institute of Mathematics of Jussieu
- Publisher
- Cambridge University Press (CUP)
- Volume
- 25
- Issue
- 4
- Pages
- 2147–2185
- Publication date
- 8 June 2026
- Language
- EN