Equivariant index of Dirac operators
type: Item
instance of: scholarly article
title: Equivariant index of Dirac operators
zbMATH Open document ID: 0694.58038
author: Kaoru Ono
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1990-01-01T00:00:00Z
review text: Atiyah-Hirzebruch's rigidity theory is derived from the index theorem for families of ellipic operators and vanishing theorem of Lichnerowicz type. Using this method we show the relative version of the rigidity of the Dirac operators.
Mathematics Subject Classification ID: 58J20
Mathematics Subject Classification ID: 58J10
Mathematics Subject Classification ID: 58J70
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 4137068
zbMATH Keywords: Dirac operator
zbMATH Keywords: spin manifold
zbMATH Keywords: \(S^ 1-action\)
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178227613
OpenAlex ID: W2064621656
Wikidata QID: Q55950816
cites work: The moment map and equivariant cohomology
cites work: Q5589103
cites work: The index of elliptic operators. I
cites work: The index of elliptic operators. III
cites work: The index of elliptic operators. IV, V
cites work: On the Rigidity Theorems of Witten
cites work: The Equivariant Index and Kirillov's Character Formula
cites work: Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
cites work: \(\text{Spin}^c\)-structures and \(S^1\)-actions
cites work: Harmonic spinors
cites work: Q5731354
cites work: Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres
cites work: Q5510503
cites work: Q4729069
DOI: 10.2748/TMJ/1178227613
description: scientific article; zbMATH DE number 4137068