Note on the Atiyah-Singer index theorem
- 15 February 1978
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 17 (4), 1053-1055
- https://doi.org/10.1103/physrevd.17.1053
Abstract
The Atiyah-Singer index theorem has recently been used to determine the number of parameters entering the general self-dual Euclidean Yang-Mills configuration with a given topological charge. We give a simple derivation of the form which the index theorem takes in this application.Keywords
This publication has 10 references indexed in Scilit:
- Pseudoparticle parameters for arbitrary gauge groupsPhysical Review D, 1977
- Massless excitations in pseudoparticle fieldsPhysical Review D, 1977
- Deformations of instantonsProceedings of the National Academy of Sciences, 1977
- Conformal properties of pseudoparticle configurationsPhysical Review D, 1977
- Degrees of freedom in pseudoparticle systemsPhysics Letters B, 1977
- On regular solutions of Euclidean Yang-Mills equationsPhysics Letters B, 1977
- Some Exact Multipseudoparticle Solutions of Classical Yang-Mills TheoryPhysical Review Letters, 1977
- Pseudoparticle solutions of the Yang-Mills equationsPhysics Letters B, 1975
- On the heat equation and the index theoremInventiones Mathematicae, 1973
- The Index of Elliptic Operators: IAnnals of Mathematics, 1968