Topological and dynamical aspects of some spectral invariants of contact manifolds with circle action
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917796045127680 |
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| author | Rumin, Michel |
| author_facet | Rumin, Michel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11787 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological and dynamical aspects of some spectral invariants of contact manifolds with circle action Rumin, Michel Differential Geometry Spectral Theory 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. |
| title | Topological and dynamical aspects of some spectral invariants of contact manifolds with circle action |
| topic | Differential Geometry Spectral Theory |
| url | https://arxiv.org/abs/2409.11787 |