In the spring of 1985, A. Casson announced an interesting
invariant of homology 3-spheres via constructions on representation
spaces. This invariant generalizes the Rohlin invariant and gives
surprising corollaries in low-dimensional topology. In the fall of
that same year, Selman Akbulut and John McCarthy held a seminar on
this invariant. These notes grew out of that seminar. The authors
have tried to remain close to Casson's original outline and proceed
by giving needed details, including an exposition of Newstead's
results. They have often chosen classical concrete approaches over
general methods. For example, they did not attempt to give gauge
theory explanations for the results of Newstead; instead they
followed his original techniques.
Originally published in 1990.
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