Analytic torsions on contact manifolds

DOI10.5802/aif.2693zbMath1264.58027arXiv0802.0123OpenAlexW3121665637MaRDI QIDQ441319

Neil Seshadri, Michel Rumin

Publication date: 22 August 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.0123

zbMATH Keywords

analytic torsiontrace formulacontact complexCR Seifert manifold

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Determinants and determinant bundles, analytic torsion (58J52) CR structures, CR operators, and generalizations (32V05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Analysis on CR manifolds (32V20)

Related Items (9)

Analytic torsion of generic rank two distributions in dimension five ⋮ An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups ⋮ Analytic torsions associated with the Rumin complex on contact spheres ⋮ Torsion and symplectic volume in Seifert manifolds ⋮ Approximately Einstein ACH metrics, volume renormalization, and an invariant for contact manifolds ⋮ The heat asymptotics on filtered manifolds ⋮ Graded hypoellipticity of BGG sequences ⋮ Ray-Singer torsion and the Rumin Laplacian on Lens spaces ⋮ Pushing down the Rumin complex to conformally symplectic quotients

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