Chern-Simons line bundle on Teichmüller space

DOI10.2140/gt.2014.18.327zbMath1295.32022arXiv1102.1981OpenAlexW2950205668MaRDI QIDQ2636585

Sergiu Moroianu, Colin Guillarmou

Publication date: 30 January 2014

Published in: Geometry \& Topology, Microlocal Methods in Mathematical Physics and Global Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1981

zbMATH Keywords

cuspTeichmüller spacemodular grouphyperbolic 3-manifoldFuchsian groupRiemann surfacehyperbolic metricSchottky grouphyperbolic \(3\)-manifoldfunnelChern-Simons invariant

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Related Items

Positivity of the renormalized volume of almost-Fuchsian hyperbolic $3$-manifolds, THE RENORMALIZED VOLUME AND UNIFORMIZATION OF CONFORMAL STRUCTURES, Equivariant prequantization bundles on the space of connections and characteristic classes, Chern-Simons invariant and Deligne-Riemann-Roch isomorphism

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• String structures and trivialisations of a Pfaffian line bundle
• Holography and Riemann surfaces
• Holomorphic factorization of determinants of Laplacians on Riemann surfaces and a higher genus generalization of Kronecker's first limit formula
• On the renormalized volume of hyperbolic 3-manifolds
• Renormalizing curvature integrals on Poincaré-Einstein manifolds
• Quasi-Fuchsian manifolds with particles
• The \(\eta\)-invariant of hyperbolic 3-manifolds
• Chern forms and the Riemann tensor for the moduli space of curves
• Determinants of Cauchy-Riemann operators on a Riemann surface
• Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
• The Hodge cohomology of a conformally compact metric
• Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery
• Some comments on Chern-Simons gauge theory
• Liouville action and Weil-Petersson metric on deformation spaces, global Kleinian reciprocity and holography
• The holographic Weyl anomaly
• Chern-Simons invariants of 3-manifolds decomposed along tori and the circle bundle over the representation space of \(T^ 2\)
• Characteristic forms and geometric invariants
• Classical Chern-Simons theory. I
• Eta invariant and Selberg zeta function of odd type over convex co-compact hyperbolic manifolds
• Holomorphic factorization of determinants of Laplacians using quasi-Fuchsian uniformization
• R-torsion and the Laplacian on Riemannian manifolds
• Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds
• The Ambient Metric (AM-178)
• Generalized Krein formula, determinants, and Selberg zeta function in even dimension
• ON UNIFORMIZATION OF RIEMANN SURFACES AND THE WEIL-PETERSSON METRIC ON TEICHMÜLLER AND SCHOTTKY SPACES
• On holomorphic factorization in asymptotically AdS 3D gravity