Diabatic limit, eta invariants and Cauchy–Riemann manifolds of dimension 3☆

DOI10.1016/j.ansens.2007.06.001zbMath1188.32010arXivmath/0506228OpenAlexW2020199567MaRDI QIDQ5430155

Michel Rumin, Olivier Biquard, Marc Herzlich

Publication date: 14 December 2007

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506228

Mathematics Subject Classification ID

Eta-invariants, Chern-Simons invariants (58J28) CR structures, CR operators, and generalizations (32V05)

Related Items

Flag structures on real 3-manifolds, Analytic torsions on contact manifolds, On the Burns-Epstein invariants of spherical CR 3-manifolds, On non-degeneracy and singularities of asymptotic hyperbolic Einstein metrics in dimension 4, Approximately Einstein ACH metrics, volume renormalization, and an invariant for contact manifolds, Gravitational Chern–Simons and the adiabatic limit

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An analogue of Demailly's inequality for strictly pseudoconvex CR manifolds
• The heat equation on a CR manifold
• CR-structures on Seifert manifolds
• A remark on renormalized volume and Euler characteristic for ACHE 4-manifolds
• Characteristic numbers of bounded domains
• The Burns-Epstein invariant and deformation of CR structures
• A global invariant for three-dimensional CR-manifolds
• The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem
• Real hypersurfaces in complex manifolds
• On boundaries of complex analytic varieties. I
• Sur la géométrie des structures de contact invariantes
• Pseudo-hermitian structures on a real hypersurface
• The Riemann-Roch theorem for complex V-manifolds
• Circle bundles, adiabatic limits of \(\eta\)-invariants and Rokhlin congruences
• Differential forms on contact manifolds
• Tight contact structures and Seiberg-Witten invariants
• Monopoles and contact structures
• Normal CR structures on \(S^3\)
• On the geography of Stein fillings of certain 3-manifolds
• Sub-Riemannian limit of the differential form spectrum of contact manifolds
• A Burns-Epstein invariant for ACHE 4-manifolds
• Spectral invariants of CR manifolds
• Characteristic forms and geometric invariants
• The divisor of Selberg's zeta function for Kleinian groups. Appendix A by Charles Epstein
• On lens spaces and their symplectic fillings
• Einstein metrics and complex singularities
• Volume renormalization for complete Einstein-Kähler metrics
• A new short proof of the local index formula and some of its applications.
• Noncommutative microlocal analysis. I
• Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds
• The Fefferman Metric and Pseudohermitian Invariants
• Psuedo-Einstein Structures on CR Manifolds
• η-Invariants and Their Adiabatic Limits
• Adiabatic Limits, Nonmultiplicativity of Signature, and Leray Spectral Sequence
• Calculus on Heisenberg Manifolds. (AM-119)
• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. II
• Spectral asymmetry and Riemannian geometry. III
• Geometry and topology of complex hyperbolic and Cauchy-Riemannian manifolds
• Geometric Invariants for Seifert Fibred 3-Manifolds
• Métriques d'Einstein à cusps et équations de Seiberg-Witten.
• Rigidité dEinstein du plan hyperbolique complexe
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
• Finite energy Seiberg-Witten moduli spaces on 4-manifolds bounding Seifert fibrations
• Normal \(CR\) structures on compact 3-manifolds