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- W65353756 abstract "In this chapter, we formally investigate the space of gauge-equivalence classes (moduli) of Yang-Mills instantons whose possible physical significance was informally discussed near the end of IV.1. The literature specifically on this subject (e.g., [Atiyah-Hitchin-Singer 1978], [Bernard-Christ-Guth-Weinberg 1977], [A. S. Schwarz 1979], etc.) is primarily intended for experts who can supply the details which must perforce be omitted in any research article of reasonable proportions. The surveys on the general subject of geometry in classical field theories (e.g., [Eguchi-Gilkey-Hanson 1980], [Madore 1981], etc.) contain a wealth of useful information and are great for finding one’s way through the literature. The article [T. Parker 1982] is particularly good at exposing the relevant techniques of non-linear functional analysis in gauge theories, as well as treating the coupled version of the removable singularity theorem for Yang-Mills fields (cf. [K. Uhlenbeck 1982]). These works inspired much of the material in Section D, without which there is no real proof that the moduli space is a manifold or that the dimension (computed in Section C using the index theorem) has any real significance. The computation of the index of the relevant operator in C avoids the use of spinors, and hence is good for those not familiar with spinors, Dirac operators, and the  genus; it applies to 4-manifolds with or without spin structures." @default.
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- W65353756 date "1985-01-01" @default.
- W65353756 modified "2023-10-14" @default.
- W65353756 title "Gauge-Theoretic Instantons" @default.
- W65353756 doi "https://doi.org/10.1007/978-1-4684-0627-6_24" @default.
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