Equivariant index of Dirac operators

DOI10.2748/tmj/1178227613zbMath0694.58038OpenAlexW2064621656WikidataQ55950816 ScholiaQ55950816MaRDI QIDQ909321

Kaoru Ono

Publication date: 1990

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227613

zbMATH Keywords

Dirac operatorspin manifold\(S^ 1-action\)

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Index theory and related fixed-point theorems on manifolds (58J20) Invariance and symmetry properties for PDEs on manifolds (58J70) Differential complexes (58J10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• The moment map and equivariant cohomology
• Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres
• \(\text{Spin}^c\)-structures and \(S^1\)-actions
• Harmonic spinors
• The index of elliptic operators. I
• The index of elliptic operators. III
• The index of elliptic operators. IV, V
• The Equivariant Index and Kirillov's Character Formula
• On the Rigidity Theorems of Witten

This page was built for publication: Equivariant index of Dirac operators