Fixed point formula for characters of automorphism groups associated with Kähler classes

DOI10.4310/MRL.2001.v8.n4.a9zbMath1002.53025OpenAlexW2066009551MaRDI QIDQ5953004

Kenji Tsuboi, Akito Futaki

Publication date: 15 January 2003

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.2001.v8.n4.a9

zbMATH Keywords

eta-invariant\(\text{Spin}^c\)-operatorChern-Simons classesfixed-point formulaeKähler-Einstein metricsLie algebra charactermetric of constant scalar curvaturepositive and constant scalar curvature

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Index theory and related fixed-point theorems on manifolds (58J20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Eta-invariants, Chern-Simons invariants (58J28)

Related Items (2)

On the existence of Kähler metrics of constant scalar curvature ⋮ A fixed point formula for 0-pseudofree \(S^1\)-actions on Kähler manifolds of constant scalar curvature

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