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arXiv · 2409.11787

Topological and dynamical aspects of some spectral invariants of contact manifolds with circle action

Michel Rumin
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Abstract

We study analytic torsion and eta like invariants on CR contact manifolds of any dimension admitting a circle transverse 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.

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Michel Rumin. 2024-09-18. Topological and dynamical aspects of some spectral invariants of contact manifolds with circle action. https://arxiv.org/abs/2409.11787

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