## Abstract

This article is an extended version of the union of two series of lectures delivered by the author in 1993 July. One is the lecture entitled “Geometry of Gauge Fields” at the first MSJ International Research Institute on Geometry and Global Analysys, held at Tohoku University, Japan and the other is those entitled as “Gauge theory and Topological Field Theories” at “The 13-th Dae Woo Workshop on Pure Mathematics” held at Pohang National University, Korea. The purpose of those lectures are to illustrate a rough account of gauge theory and its applications to low dimensional topology without going into technical details. For this purpose no effort was made toward the accuracy or precise ness of the contents. Instead the author try to explain ideas of “infinite dimensional geometry” which are sometimes hidden under rigorous mathematical arguments in the literature.

## Keywords

Gauge Theory Modulus Space Vector Bundle Spectral Sequence Morse Index## Preview

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